Question

$simplify \: \sqrt{25 + 10 \sqrt{6} } + \sqrt{25 - 10 \sqrt{6} }$
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Answer 1

$\sqrt{25 + 10 \sqrt{6} } + \sqrt{25 - 10 \sqrt{6} } \\ \\ \sqrt{35 \sqrt{6} } + \sqrt{15 \sqrt{6} } \\ \\ \sqrt{35 \times 2.45} + \sqrt{15 \times 2.45} \\ \\ \sqrt{85.75} + \sqrt{36.75} \\ \\ square \: root \: of \: 85.75 \: by \: long \\ division \: method \: correct \: to \: two \: \\ decimal \: places\: \\ \sqrt{85.75} = 9.30 \\ square \: root \: of \: 36.75 \: by \: long \\ division \: method \: correct \: to \: two \: \\ decimal \: places \\ \sqrt{36.75} = 6.10 \\ \\ next \: step \\ \sqrt{85.75} + \sqrt{36.75} \\ 9.30 + 6.10 \\ = 15.40 \\ so \: the \: answer \: is \: 15.40$

$i \: hope \: it \: may \: help \: you$