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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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