Question

simplify underroot (3+2root2)​

Answer 1

Step-by-step explanation:

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Using formula For Both Question,

• (a+b)² = a²+ b²+2ab

• (a-b)² = a²-b²+2ab

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6.

$\blue{\bold{\underline{questions : - }}}$

$\orange {\large{ \sqrt{3 + 2 \sqrt{2} }}}$

$\star{ \pink{\bold{\underline{\underline{solution \: : - }}}}}$

$\bold{\large{ = \sqrt{3 + 1 + 2 \sqrt{2} }}}$

$\large{\bold{ = \sqrt{ {1}^{2} + (2 \times 1 \times \sqrt{2} + ( \sqrt{ {2}^{2} } ) }}}$

$\large{\bold{ = \sqrt{1 + \sqrt{ {2}^{2} } }}}$

= 1+√2

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Next,

7.

$\blue{\bold{\underline{questions : - }}}$

$\orange {\large{ \sqrt{3 - 2 \sqrt{2} }}}$

$\star{ \pink{\bold{\underline{\underline{solution \: : - }}}}}$

$\large{\bold{ = \sqrt{ {1}^{2} + (2 \times 1 \times \sqrt{2} - ( \sqrt{ {2}^{2} } ) }}}$

$\large{\bold{ = \sqrt{1 - \sqrt{ {2}^{2} } }}}$

=1-√2

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