Question

1. The positive square root of 7+2√12

a) 7+2√3 b)7+√3 c) 2+√3 d) 3+√2


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Answer 1

Answer:

c)2+√3

Step-by-step explanation:

$\sqrt{(7 + 2 \sqrt{12)} } \\ = \sqrt{(4 + 3 + 2 \sqrt{4} } \sqrt{3}) \\ = \sqrt{( \sqrt{4 } + \sqrt{3} ) {}^{2} } \\ = \sqrt{4} + \sqrt{3} </p><p> = 2 + \sqrt{3}$

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