Real Number Quiz 11

Question 1

$\sqrt[3]a+\sqrt[3]b+ \sqrt[3]c=0$ then $(a+b+c)^3 = ...........$

Accepted Answer

27 abc

Answer

3 abc

Answer

9 abc

Answer

81 abc

Question 2

Rationalising factor of $\sqrt[3]{16}-\sqrt[3]4+1$

Accepted Answer

$\sqrt[3]4+1$

Answer

$\sqrt[3]4+2$

Answer

$\sqrt[3]4-2$

Answer

$\sqrt[3]4-1$

Question 3

$\frac{l}{\sqrt{10}+\sqrt{14}+\sqrt{15}+\sqrt{21}}=\frac{\sqrt{10}-\sqrt{14}-\sqrt15+\sqrt21}{k}$ then k = &hellip;&hellip;&hellip;&hellip;

Accepted Answer

$k=\frac{2}l$

Answer

k = $\frac{1}{2}$

Answer

$k=2l$

Answer

$k=l$

Question 4

A rationalising factor of $\sqrt[3]{25}+\frac{1}{\sqrt[3]{25}}-1$ is &hellip;&hellip;&hellip;&hellip;&hellip;

Accepted Answer

$5^{\frac{1}{3}}+5^{\frac{1}{3}}$

Answer

$5^{\frac{1}{3}}-5^{\frac{1}{3}}$

Answer

$25^{\frac{1}{3}}+25^{\frac{-1}{3}}$

Answer

$25^{\frac{1}{3}}-25^{\frac{-1}{3}}$

Question 5

$\frac{\sqrt{x^2+1}+\sqrt{x^2-1}}{\sqrt{x^2+1}-\sqrt{x^2-1}}+\frac{\sqrt{x^2+1}-\sqrt{x^2-1}}{\sqrt{x^2+1}+\sqrt{x^2-1}}=..........$

Accepted Answer

$2x^2$

Answer

$3x^2$

Answer

2x

Answer

$4x^2$

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