(C) To solve the expression $(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})$,we use the algebraic identity $(a+b)(a-b) = a^2 - b^2$.Here,$a = \sqrt{5}$ and $b

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(C) To solve the expression $(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})$,we use the algebraic identity $(a+b)(a-b) = a^2 - b^2$.Here,$a = \sqrt{5}$ and $b = \sqrt{3}$.Substituting these values into the identity:$(\sqrt{5})^2 - (\sqrt{3})^2 = 5 - 3 = 2$.Therefore,the correct option is $C$.

Class 9 Mathematics Number Systems Mix Examples - Number Systems

Easy

For each question,select the proper option from the four options given to make the statement true: $(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3}) = \ldots \ldots \ldots$

A
$\sqrt{3}$
B
$\sqrt{2}$
C
$2$
D
$\sqrt{5}$

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Class 9 Questions

Class 9

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Number Systems

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Mix Examples - Number Systems

Simplify the following:
$\sqrt{45}-3 \sqrt{20}+4 \sqrt{5}$

Medium

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If $\sqrt{2} = 1.4142$,then evaluate $\sqrt{5} \div \sqrt{10}$ correct to four decimal places.

Medium

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Between two rational numbers,

Easy

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Find the value of the following expression correct to three decimal places,taking $\sqrt{2} = 1.414$,$\sqrt{3} = 1.732$,and $\sqrt{5} = 2.236$:
$\frac{\sqrt{10} - \sqrt{5}}{2}$

Difficult

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For each question,select the proper option from four options given,to make the statement true: $.............$ is a rational number between $7$ and $8$.

Easy

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For each question,select the proper option from the four options given to make the statement true: $(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3}) = \ldots \ldots \ldots$

Similar Questions

Simplify the following:$\sqrt{45}-3 \sqrt{20}+4 \sqrt{5}$

If $\sqrt{2} = 1.4142$,then evaluate $\sqrt{5} \div \sqrt{10}$ correct to four decimal places.

Between two rational numbers,

Find the value of the following expression correct to three decimal places,taking $\sqrt{2} = 1.414$,$\sqrt{3} = 1.732$,and $\sqrt{5} = 2.236$:$\frac{\sqrt{10} - \sqrt{5}}{2}$

For each question,select the proper option from four options given,to make the statement true: $.............$ is a rational number between $7$ and $8$.

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Simplify the following:
$\sqrt{45}-3 \sqrt{20}+4 \sqrt{5}$

Find the value of the following expression correct to three decimal places,taking $\sqrt{2} = 1.414$,$\sqrt{3} = 1.732$,and $\sqrt{5} = 2.236$:
$\frac{\sqrt{10} - \sqrt{5}}{2}$