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Surds and indices Practice Questions & Answers

0 vote

The greatest number among the following is $\frac{4}{9}$,$\sqrt{\frac{9}{49}}$,$0.\ddot{47}$,$(0.7)^{2}$

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The greatest number among the following is $\frac{4}{9}$,$\sqrt{\frac{9}{49}}$,$0.\ddot{47}$,$(0.7)^{2}$
1). $\frac{4}{9}$
2). $\sqrt{\frac{9}{49}}$
3). $0.\ddot{47}$
4). $(0.7)^{2}$

0 vote

Arranging the following in descending order, we get $\sqrt[3]{4}$,$\sqrt{2}$,$\sqrt[6]{3}$,$\sqrt[4]{5}$

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Arranging the following in descending order, we get $\sqrt[3]{4}$,$\sqrt{2}$,$\sqrt[6]{3}$,$\sqrt[4]{5}$
1). $\sqrt[3]{4}$ > $\sqrt[4]{5}$ > $\sqrt{2}$ > $\sqrt[6]{3}$
2). $\sqrt[4]{5}$ > $\sqrt[3]{4}$ > $\sqrt[6]{3}$ > $\sqrt{2}$
3). $\sqrt{2}$ > $\sqrt[6]{3}$ > $\sqrt[3]{4}$ > $\sqrt[4]{5}$
4). $\sqrt[6]{3}$ > $\sqrt[4]{5}$ > $\sqrt[3]{4}$ > $\sqrt{2}$,

0 vote

Which Is greater $\sqrt[3]{2}$ or $\sqrt{3}$

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Which Is greater $\sqrt[3]{2}$ or $\sqrt{3}$
1). Cannot be compared
2). $\sqrt[3]{2}$
3). $\sqrt{3}$
4). Equal

-1 vote

The greatest of the numbers $\sqrt[2]{8}$,,$\sqrt[4]{13}$, $\sqrt[5]{16}$, $\sqrt[10]{41}$ is :

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The greatest of the numbers $\sqrt[2]{8}$,,$\sqrt[4]{13}$, $\sqrt[5]{16}$, $\sqrt[10]{41}$ is :
1). $\sqrt[4]{13}$
2). $\sqrt[5]{16}$
3). $\sqrt[10]{41}$
4). $\sqrt[2]{8}$

0 vote

The smallest among the numbers $2^{250}$ , $3^{150}$, $5^{100}$, and $4^{200}$

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The smallest among the numbers $2^{250}$ , $3^{150}$, $5^{100}$, and $4^{200}$
1). $4^{200}$
2). $5^{100}$
3). $3^{150}$
4). $2^{250}$