Question

Упростить выражение:
3√2 1/3 - √84 - 4√5 1/4

Answer 1

$3\sqrt{2\frac{1}{3} }-\sqrt{84}-4\sqrt{5\frac{1}{4} }=3\sqrt{\frac{7}{3} }-\sqrt{4*21}-4\sqrt{\frac{21}{4} }=\sqrt{9*\frac{7}{3} }-2\sqrt{21}-2*\frac{\sqrt{21} }{2}=\sqrt{21}-2\sqrt{21} -\sqrt{21}=-2\sqrt{21}$