Simplify the following expressions:$ (5+\sqrt{7})(5-\sqrt{7}) $

Given:

\( (5+\sqrt{7})(5-\sqrt{7}) \)

To do: 

We have to simplify the given expression.

Solution:

We know that,

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

Therefore,

$(5+\sqrt{7})(5-\sqrt{7})=(5)^{2}-(\sqrt{7})^{2}$

$=25-7$

$=18$

Hence, $(5+\sqrt{7})(5-\sqrt{7})=18$.  

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Updated on: 10-Oct-2022

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