Question

9. Simplify: √
$\sqrt{3 + 2 \sqrt{2} }$


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Answer 1

hey mate here is your answer

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

$\sqrt{1 + 2\sqrt{2} + 2}$

$<b>by a^2 + 2ab + b^2</b>$

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

$\sqrt{(1 + \sqrt{2})^2}$

$(1+\sqrt{2})^{2 \times \frac{1}{2}}$

this is because every root have power in form of $\frac{1}{n}$ where "n" is that root

so,

$1 + \sqrt{2}$