Question

Simplify the radical expression. 1. √45 2. √180x^2 3.√490y^5 w^6

Answer 1

#1) 3√5
#2) 6x√5
#3) 7w^3y^2√10y

Answer 2

Answer with explanation:

$1. \sqrt{45}=\sqrt{3 \times 3 \times 5}\\\\=3 \sqrt{5}\\\\2. \sqrt{180 x^2}\\\\=\sqrt{3\times 3 \times 2 \times 2 \times 5 \times x \times x}\\\\=3 \times 2 \times x\times \sqrt{5}\\\\=6 x \sqrt{5}\\\\3. \sqrt{490 y^5w^6}=\sqrt{7 \times 7 \times 2 \times 5 \times (y^2)^2\times y \times (w^3)^2}=7y^2w^3\sqrt{10 y}$