Question

What is the exact value of the expression the square root of 294 − the square root of 24 + the square root of 54 ? simplify if possible?

Answer 1

$\sqrt{54 } = 3 \sqrt{6}$
$\sqrt{24 } = 2 \sqrt{6}$
$\sqrt{294 } = 7 \sqrt{6}$
According to question,
$7 \sqrt{2} - 2 \sqrt{6} + 3 \sqrt{6}$
So...
$2 \sqrt{2} \: \:ans$