Question

$\sqrt{7 + 2 \sqrt{6} } - \sqrt{7 - 2 \sqrt{6} }$
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Answer 1

Answer :

›»› 2

Given :

• $\sf{\sqrt{7 + 2 \sqrt{6} } - \sqrt{7 - 2 \sqrt{6} } }$

To Find :

• Calculate the value.

Required Solution :

Let's start solving the problem and understand the steps to get our final result.

$\tt{: \implies \sqrt{7 + 2 \sqrt{6} } - \sqrt{7 - 2 \sqrt{6} } }$

Simplify the expression by arranging the expression in the radical sign,

$\tt{: \implies 1 + \sqrt{6} - \sqrt{7 - 2 \sqrt{6} } }$

Simplify the expression by arranging the expression in the radical sign,

$\tt{: \implies 1 + \sqrt{6} - \big( - 1 + 6 \big)}$

Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses,

$\tt{: \implies 1 + \sqrt{6} + 1 - \sqrt{6}}$

Remove the two numbers if the values are the same and the signs are different,

$\tt{: \implies 1 + 1}$

Add 1 and 1,

$\frak{: \implies \underline{ \boxed{ \pink{ \frak{2}}}}}$

Hence Solved !