Simplify the following expressions:$ (\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2}) $

Given:

\( (\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2}) \)

To do: 

We have to simplify the given expression.

Solution:

We know that,

$(a+b)(a-b)=a^2-b^2$

Therefore,

$(\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2})=(\sqrt{5})^{2}-(\sqrt{2})^{2}$

$=5-2$

$=3$

Hence, $(\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2})=3$.     

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Simply Easy Learning

Updated on: 10-Oct-2022

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