Question

simplify square root of 7 minus square root of 4 x square root of 7 + square root of 4
$( \sqrt{7 - \sqrt{4) \times \sqrt{7 + \sqrt{4} } } }$
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Answer 1

Answer:

√3.536

step-by-step explanation:

$\sqrt{7 - \sqrt{4 \times \sqrt{7 + \sqrt{4} } } } \\ = \sqrt{7 - \sqrt{4 \times \sqrt{7 + 2} } } \\ = \sqrt{7 - \sqrt{4 \times \sqrt{9} } } \\ = \sqrt{7 - \sqrt{4 \times 3} } \\ = \sqrt{7 - 2 \sqrt{3} } \\ = \sqrt{7 - 2 \times 1.732} \\ = \sqrt{7 - 3.464} \\ = \sqrt{3.536}$