(A) The product of two irrational numbers can be either rational or irrational. For example: $1$. If we take $\sqrt{2} \times \sqrt{2} = 2$,which is a

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sometimes rational,sometimes irrational

(A) The product of two irrational numbers can be either rational or irrational. For example: $1$. If we take $\sqrt{2} \times \sqrt{2} = 2$,which is a rational number. $2$. If we take $\sqrt{2} \times \sqrt{3} = \sqrt{6}$,which is an irrational number. Therefore,the product is sometimes rational and sometimes irrational.

Class 9 Mathematics Number Systems Mix Examples - Number Systems

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The product of any two irrational numbers is

A
sometimes rational,sometimes irrational
B
always an irrational number
C
always a rational number
D
always an integer

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Mix Examples - Number Systems

Calculate the sum: $0. \overline{3} + 0.4 \overline{7}$

Medium

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For each question,select the proper option from four options given,to make the statement true: $\sqrt{5^{2}+12^{2}}$ is a / an $\ldots \ldots$ number.

Easy

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Simplify the following:
$\sqrt[4]{81}-8 \sqrt[3]{216}+15 \sqrt[5]{32}+\sqrt{225}$

Difficult

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Simplify: $\frac{7 \sqrt{3}}{\sqrt{10}+\sqrt{3}}-\frac{2 \sqrt{5}}{\sqrt{6}+\sqrt{5}}-\frac{3 \sqrt{2}}{\sqrt{15}+3 \sqrt{2}}$

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Find three rational numbers between $\frac{2}{3}$ and $\frac{4}{5}$.

Medium

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The product of any two irrational numbers is

Similar Questions

Calculate the sum: $0. \overline{3} + 0.4 \overline{7}$

For each question,select the proper option from four options given,to make the statement true: $\sqrt{5^{2}+12^{2}}$ is a / an $\ldots \ldots$ number.

Simplify the following:$\sqrt[4]{81}-8 \sqrt[3]{216}+15 \sqrt[5]{32}+\sqrt{225}$

Simplify: $\frac{7 \sqrt{3}}{\sqrt{10}+\sqrt{3}}-\frac{2 \sqrt{5}}{\sqrt{6}+\sqrt{5}}-\frac{3 \sqrt{2}}{\sqrt{15}+3 \sqrt{2}}$

Find three rational numbers between $\frac{2}{3}$ and $\frac{4}{5}$.

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Simplify the following:
$\sqrt[4]{81}-8 \sqrt[3]{216}+15 \sqrt[5]{32}+\sqrt{225}$