Question

rational number simplify
$\sqrt{3 + 2 \sqrt{2} }$
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Answer 1

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$\huge\bold\purple{ANSWER:}$

⏩$\sqrt{3 + 2 \sqrt{2} }$

Write 3 as a sum..

→$\sqrt{1 + 2 + 2 \sqrt{2} }$

Use the commutative property to reorder the terms...

→$\sqrt{1 + 2 \sqrt{2} + 2}$

Now, using a²+2ab+b²=(a+b)², factor the expression...

→$\sqrt{(1 + \sqrt{2)} ^{2} }$

Reduce the index of the radical and exponent by 2 ...

→$1 + \sqrt{2}$

The required solution...

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Hope it helps...:-)

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