Recent questions tagged surds

580
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Find the product of the two numbers \(2 ^{2007}\) and \(5^{2011}\) and then calculate the sum of the digits of the answer
692
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How do I establish whether or not a function \(f\) is continuous at \(c\)?
302
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What are the perfect cubes that lie on either side of \(100 ?\)
819
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How do I establish whether a surd lies between which two integers?
574
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How do I add, subtract, multiply and divide simple surds?
570
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How do you estimate the bias of a coin?
310
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Show that \(\frac{1-\sqrt{2}}{3+2 \sqrt{2}}\) can be written as \(7-5 \sqrt{2}\)
406
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Show that \(\frac{5+2 \sqrt{3}}{2+\sqrt{3}}\) can be written as \(4-\sqrt{3}\)
365
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1 answers
Show that \(\frac{5+\sqrt{3}}{2-\sqrt{3}}\) can be written as \(13+7 \sqrt{3}\)
338
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1 answers
Rationalize the denominator of $\frac{5}{4-\sqrt{3}}$
336
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Rationalize the denominator of $\dfrac{8}{\sqrt[3]{2}}$
339
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Rationalize the denominator of $\dfrac{6}{\sqrt{3}} \quad$
520
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Simplify the following:(a) $\quad \sqrt{2} \cdot \sqrt{3}=$(b) $\quad \sqrt{3} \cdot \sqrt{3}=$(c) $\quad(\sqrt{4})^{2}=$(e) $\frac{\sqrt[3]{16}}{\sqrt[3]{2}}=$(f) $(5 \s...
355
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1 answers
Simplify $\frac{\sqrt{27}+\sqrt{12}}{\sqrt{75}}$
497
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What are radical numbers?
625
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Are all surds irrational?
3.2k
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1 answers
Find two consecutive integers such that $\sqrt{15}$ lies between them.
583
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Find two consecutive integers such that $\sqrt{7}$ lies between them.
1.5k
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1 answers
How do you estimate surds without using a calculator?
286
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1 answers
Rationalise the denominator of the following fraction:
2.3k
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2 answers
Simplify the following without the use of a calculator√(64 + 16) - √20
387
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1 answers
Simplify without a calculator $\sqrt{4}+\sqrt{7}-\sqrt{7}-\sqrt{4}-\sqrt{7}$
3.6k
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1 answers
Find the two consecutive integers such that $\sqrt{26}$ lies between them. (Remember that consecutive integers are two integers that follow one another on the number line...
707
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1 answers
If $P= \sqrt{n - 1}+\sqrt{n+1}$ where n is a positive integer then the value of $P$ is
12.4k
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Determine between which two consecutive integers the following numbers lie, without using a calculator:$\sqrt{18}$$\sqrt{29}$$\sqrt[3]{5}$$\sqrt[3]{79}$
2.3k
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Find the two consecutive integers such that $\sqrt[3]{49}$ lies between them.
680
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1 answers
If $a$ and $b$ are positive whole numbers, and $a < b$, then is $\sqrt[n]{a} < \sqrt[n]{b}$?
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