Question

simplify
${(7 + 2 \sqrt{12} ) }^{ \frac{1}{2} }$
​

Answer 1

Answer:

$2 + \sqrt{3}$

Step-by-step explanation:

${(7 + 2 \sqrt{12} )}^{ \frac{1}{2} } \\ = \sqrt{4 + 3 + 4 \sqrt{3} } \\ = \sqrt{ {2}^{2} + {( \sqrt{3)} }^{2} + 2 \times 2 \times \sqrt{3} } \\ = \sqrt{ {(2 + \sqrt{3 \: )} }^{2} } \\ = 2 + \sqrt{3}$

Hope it helps you.

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Answer 2

Answer:

l hope this will help you..