Simplify 4 square root of x-15 square root of x

$4 \sqrt{x - 15 \sqrt{x}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{x}$ as $x^{\frac{1}{2}}$ .

$4 \sqrt{x - 15 x^{\frac{1}{2}}}$

Step 2

Factor $x^{\frac{1}{2}}$ out of $x - 15 x^{\frac{1}{2}}$ .

Raise $x$ to the power of $1$ .

$4 \sqrt{x^{1} - 15 x^{\frac{1}{2}}}$

Factor $x^{\frac{1}{2}}$ out of $x^{1}$ .

$4 \sqrt{x^{\frac{1}{2}} x^{\frac{1}{2}} - 15 x^{\frac{1}{2}}}$

Factor $x^{\frac{1}{2}}$ out of $- 15 x^{\frac{1}{2}}$ .

$4 \sqrt{x^{\frac{1}{2}} x^{\frac{1}{2}} + x^{\frac{1}{2}} \cdot - 15}$

Factor $x^{\frac{1}{2}}$ out of $x^{\frac{1}{2}} x^{\frac{1}{2}} + x^{\frac{1}{2}} \cdot - 15$ .

$4 \sqrt{x^{\frac{1}{2}} (x^{\frac{1}{2}} - 15)}$