Question

Simplify.

sqrt of 5 • sqrt of 12 • sqrt of 50

A. 10 sqrt 30
B. 7 sqrt 30
C. 7 sqrt 10
D. 10 sqrt 10

Answer 1

`\sqrt5\cdot√(12)\cdot√(50)=\sqrt5\cdot√(4\cdot3)\cdot√(25\cdot2)=\sqrt5\cdot\sqrt4\cdot\sqrt3\cdot√(25)\cdot\sqrt2\\\\=\sqrt5\cdot2\cdot\sqrt3\cdot5\cdot\sqrt2=(2\cdot5)√(5\cdot3\cdot2)=\boxed{10√(30)}\to\boxed{A.}\\\\Used\ √(ab)=√(a)\cdot√(b)`