Simplify 2 square root of 160x^2-4x square root of 10

$2 \sqrt{160 x^{2}} - 4 x \sqrt{10}$

Simplify each term.

Rewrite $160 x^{2}$ as ${(4 x)}^{2} \cdot 10$ .

Factor $16$ out of $160$ .

$2 \sqrt{16 (10) x^{2}} - 4 x \sqrt{10}$

Rewrite $16$ as $4^{2}$ .

$2 \sqrt{4^{2} \cdot 10 x^{2}} - 4 x \sqrt{10}$

Move $10$ .

$2 \sqrt{4^{2} x^{2} \cdot 10} - 4 x \sqrt{10}$

Rewrite $4^{2} x^{2}$ as ${(4 x)}^{2}$ .

$2 \sqrt{{(4 x)}^{2} \cdot 10} - 4 x \sqrt{10}$

$2 \sqrt{{(4 x)}^{2} \cdot 10} - 4 x \sqrt{10}$

Pull terms out from under the radical.

$2 (4 x \sqrt{10}) - 4 x \sqrt{10}$

Multiply $4$ by $2$ .

$8 x \sqrt{10} - 4 x \sqrt{10}$

$8 x \sqrt{10} - 4 x \sqrt{10}$

Subtract $4 x \sqrt{10}$ from $8 x \sqrt{10}$ .

$4 x \sqrt{10}$

Related Questions