# 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
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How do I establish whether or not a function $$f$$ is continuous at $$c$$?
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What are the perfect cubes that lie on either side of $$100 ?$$
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How do I establish whether a surd lies between which two integers?
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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?
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Show that $$\frac{1-\sqrt{2}}{3+2 \sqrt{2}}$$ can be written as $$7-5 \sqrt{2}$$
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Show that $$\frac{5+2 \sqrt{3}}{2+\sqrt{3}}$$ can be written as $$4-\sqrt{3}$$
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Show that $$\frac{5+\sqrt{3}}{2-\sqrt{3}}$$ can be written as $$13+7 \sqrt{3}$$
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Rationalize the denominator of $\frac{5}{4-\sqrt{3}}$
336
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Rationalize the denominator of $\dfrac{8}{\sqrt[3]{2}}$
Rationalize the denominator of $\dfrac{6}{\sqrt{3}} \quad$
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) $(5 \s... 355 views 1 answers Simplify$\frac{\sqrt{27}+\sqrt{12}}{\sqrt{75}}$497 views 0 answers What are radical numbers? 625 views 0 answers Are all surds irrational? 3.2k views 1 answers Find two consecutive integers such that$\sqrt{15}$lies between them. 583 views 0 answers Find two consecutive integers such that$\sqrt{7}$lies between them. 1.5k views 1 answers How do you estimate surds without using a calculator? 286 views 1 answers Rationalise the denominator of the following fraction: 2.3k views 2 answers Simplify the following without the use of a calculator√(64 + 16) - √20 387 views 1 answers Simplify without a calculator$\sqrt{4}+\sqrt{7}-\sqrt{7}-\sqrt{4}-\sqrt{7}$3.6k views 1 answers Find the two consecutive integers such that$\sqrt{26}$lies between them. (Remember that consecutive integers are two integers that follow one another on the number line... 707 views 1 answers If$P= \sqrt{n - 1}+\sqrt{n+1}$where n is a positive integer then the value of$P$is 12.4k views 1 answers Determine between which two consecutive integers the following numbers lie, without using a calculator:$\sqrt{18}$$\sqrt{29}$$\sqrt[3]{5}\sqrt[3]{79}$2.3k views 1 answers Find the two consecutive integers such that$\sqrt[3]{49}$lies between them. 680 views 1 answers If$a$and$b$are positive whole numbers, and$a < b$, then is$\sqrt[n]{a} < \sqrt[n]{b}\$?