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What is a rational number?

asked Feb 6 by ♦GaussTheBot Diamond (45,615 points) | 73 views

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Solve for \(x\) \[ 4 x^2-4 x-1=0 \] (leave your answers in simplest surd form)

asked Jan 28 by ♦GaussTheBot Diamond (45,615 points) | 67 views

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How do you simplify an expression with exponents?

asked Jan 28 by ♦GaussTheBot Diamond (45,615 points) | 76 views

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Calculate \(8\left(\frac{1}{8}-\sqrt{\frac{1}{16}}\right)\)

asked Nov 27, 2022 by ♦MathsGee Diamond (89,175 points) | 66 views

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Calculate \(\sqrt{\frac{9}{16}} \div \sqrt{\frac{1}{4}}\).

asked Nov 27, 2022 by ♦MathsGee Diamond (89,175 points) | 60 views

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How do I establish whether or not a function \(f\) is continuous at \(c\)?

asked Sep 12, 2022 by ♦GaussTheBot Diamond (45,615 points) | 83 views

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What is a surd?

asked Sep 7, 2022 by ♦MathsGee Diamond (89,175 points) | 115 views

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What is a rational number?

asked Sep 7, 2022 by ♦MathsGee Diamond (89,175 points) | 106 views

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How do I establish whether a surd lies between which two integers?

asked Sep 7, 2022 by ♦MathsGee Diamond (89,175 points) | 104 views

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Find a rational number between \(\frac{5}{7}\) and \(\frac{3}{4}\).

asked Aug 16, 2022 by ♦GaussTheBot Diamond (45,615 points) | 101 views

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Show that the following numbers are rational: (a) 0,1 (b) \(1, \dot{7} \dot{5}\)

asked Aug 15, 2022 by ♦GaussTheBot Diamond (45,615 points) | 114 views

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Prove that \(\sqrt{5}-\sqrt{3}\) is not a rational number.

asked Jul 28, 2022 by ♦MathsGee Diamond (89,175 points) | 105 views

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Determine rational numbers \(p\) and \(q\) if \(\frac{7+\sqrt{5}}{7-\sqrt{5}}-\frac{7-\sqrt{5}}{7+\sqrt{5}}-p-7 \sqrt{5} q\).

asked Jul 28, 2022 by ♦MathsGee Diamond (89,175 points) | 76 views

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Simplify and express the result in simplest form: \(\frac{\sqrt{x^{2}-y^{2}}+x}{\sqrt{x^{2}+y^{2}}+y} \div \frac{\sqrt{x^{2}+y^{2}}-y}{x-\sqrt{x^{2}-y^{2}}}\).

asked Jul 28, 2022 by ♦MathsGee Diamond (89,175 points) | 96 views

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Show that \(p^2=2\) is not satisfied by a rational number

asked Jul 5, 2022 by ♦MathsGee Diamond (89,175 points) | 121 views

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Find the value of \(x\) such that \[ \frac{1+x}{x}=\sqrt{5} \] Giving your answer in the form \(a+b \sqrt{5}\) where \(a\) and \(b\) are rational numbers.

asked Nov 9, 2021 by ♦MathsGee Diamond (89,175 points) | 205 views

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Express \(\frac{7 \sqrt{2}+3 \sqrt{3}}{4 \sqrt{2}-2 \sqrt{3}}\) in the form \(p+q \sqrt{r}\), where \(p, q\) and \(r\) are rational numbers.

asked Sep 12, 2021 by ♦MathsGee Diamond (89,175 points) | 280 views

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Express \(\cos 150^{\circ}\) in surd form.

asked Sep 11, 2021 by Siyavula Wooden Status (4,147 points) | 252 views

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Simplify the surd $3 \sqrt{56}$ completely

asked Aug 27, 2021 by ♦MathsGee Diamond (89,175 points) | 306 views

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Write each of the following products with a single base. Do not simplify further.

asked Jul 29, 2021 by ♦MathsGee Diamond (89,175 points) | 549 views

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Simplify $\frac{\sqrt{4 x^{9}}-\sqrt{16 x^{9}}}{\sqrt{x}}$ and leave your answer in simplest surd form

asked Jun 14, 2021 by Student Bronze Status (5,662 points) | 238 views

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Simplify $\frac{\sqrt{48}-\sqrt{3}}{\sqrt{27}}$ and leave your answer in simplest surd form

asked Jun 14, 2021 by Student Bronze Status (5,662 points) | 221 views

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Simplify $(2+3 \sqrt{2})^{2}$ and leave your answer in simplest surd form

asked Jun 14, 2021 by Student Bronze Status (5,662 points) | 275 views

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Simplify $\sqrt{12}+4 \sqrt{75}$ and leave your answer in simplest surd form

asked Jun 14, 2021 by Student Bronze Status (5,662 points) | 198 views

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Write in simplest surd form and simplify without using a calculator:

asked Jun 14, 2021 by Student Bronze Status (5,662 points) | 265 views

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Simplify the surd $\sqrt[3]{5}+5 \sqrt[3]{5}-2 \sqrt[3]{5}$

asked Jun 14, 2021 by Student Bronze Status (5,662 points) | 241 views

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Simplify the surd $\sqrt{7}+2 \sqrt{7}-6 \sqrt{7}$

asked Jun 14, 2021 by Student Bronze Status (5,662 points) | 203 views

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Simplify the surd $5 \sqrt{3}+2 \sqrt{3}-3 \sqrt{3}$

asked Jun 14, 2021 by Student Bronze Status (5,662 points) | 223 views

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Simplify: $\dfrac{4^{n+2} \cdot 9^{n-1}}{72^{n} \cdot 2^{1-n}}$

asked Jun 14, 2021 by Student Bronze Status (5,662 points) | 216 views

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Rewrite the $\dfrac{9^{4}}{27}$ with prime bases and hence simplify without the use of a calculator.

asked Jun 14, 2021 by Student Bronze Status (5,662 points) | 220 views

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Rewrite the $16\cdot 8^{-1}$ with prime bases and hence simplify without the use of a calculator.

asked Jun 14, 2021 by Student Bronze Status (5,662 points) | 272 views

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Simplify $\dfrac{\sqrt{50}+\sqrt{8}}{7 \sqrt{2}}$ without the use of a calculator.

asked May 19, 2021 by ♦MathsGee Diamond (89,175 points) | 352 views

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Simplify the surd $\left(p^{\frac{3}{2}}\right)^{-2}$ leaving answers in simplest surd form with rational denominators and positive exponents. Do not use a calculator.

asked May 19, 2021 by ♦MathsGee Diamond (89,175 points) | 271 views

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Simplify the surd $\frac{3^{4 n+1} \cdot 3}{9^{n+1} \cdot 3^{2 n}}$ leaving answers in simplest surd form with rational denominators and positive exponents. Do not use a calculator.

asked May 19, 2021 by ♦MathsGee Diamond (89,175 points) | 310 views

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Simplify the surd $y^{\frac{1}{2}} \cdot \sqrt{y}$ leaving answers in simplest surd form with rational denominators and positive exponents. Do not use a calculator.

asked May 19, 2021 by ♦MathsGee Diamond (89,175 points) | 293 views

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Simplify the surd $\frac{\sqrt{3}}{5 \sqrt{4}}$ leaving answers in simplest surd form with rational denominators and positive exponents. Do not use a calculator.

asked May 19, 2021 by ♦MathsGee Diamond (89,175 points) | 237 views

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Simplify the surd $2 \sqrt{5}(\sqrt{6}+2)$ leaving answers in simplest surd form with rational denominators and positive exponents. Do not use a calculator.

asked May 19, 2021 by ♦MathsGee Diamond (89,175 points) | 295 views

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Simplify the surd $2 \sqrt{45}-2 \sqrt{5}$ leaving answers in simplest surd form with rational denominators and positive exponents. Do not use a calculator.

asked May 19, 2021 by ♦MathsGee Diamond (89,175 points) | 284 views

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Help me write this in simplest surd form:

asked Aug 23, 2020 by Joshua Mwanza Gold Status (26,655 points) | 431 views

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How do I write $\sqrt{150}$ as a surd?

asked Apr 28, 2020 by ♦MathsGee Diamond (89,175 points) | 219 views

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What is $\cos{30^{\circ}}$ in surd form?

asked Apr 28, 2020 by ♦MathsGee Diamond (89,175 points) | 405 views

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