Question

Answer 1

a) \(\sqrt{15x^3.\dfrac{60}{x}}=\sqrt{900x^2}=30\left|x\right|\)

b) \(\sqrt{16\left(x^2-6x+9\right)}=\sqrt{16\left(x-3\right)^2}=4\left|x-3\right|\)

c) \(25x^2\left(x-2\sqrt{x}+1\right)=25x^2\left(\sqrt{x}-1\right)^2=\left[5x\left(\sqrt{x}-1\right)\right]^2=\left(5x\sqrt{x}-5x\right)^2\)

Answer 2

a: \(\sqrt{15x^3\cdot\dfrac{60}{x}}=\sqrt{900x^2}=30\left|x\right|\)

b: \(\sqrt{16\left(x^2-6x+9\right)}=4\left|x-3\right|\)

c: \(25x^2\left(x-2\sqrt{x}+1\right)\)

\(=25x^2\left(\sqrt{x}-1\right)^2\)