Simplify 5 square root of 28x^2+5x square root of 63

$5 \sqrt{28 x^{2}} + 5 x \sqrt{63}$

Simplify each term.

Rewrite $28 x^{2}$ as ${(2 x)}^{2} \cdot 7$ .

Factor $4$ out of $28$ .

$5 \sqrt{4 (7) x^{2}} + 5 x \sqrt{63}$

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

$5 \sqrt{2^{2} \cdot 7 x^{2}} + 5 x \sqrt{63}$

Move $7$ .

$5 \sqrt{2^{2} x^{2} \cdot 7} + 5 x \sqrt{63}$

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

$5 \sqrt{{(2 x)}^{2} \cdot 7} + 5 x \sqrt{63}$

$5 \sqrt{{(2 x)}^{2} \cdot 7} + 5 x \sqrt{63}$

Pull terms out from under the radical.

$5 (2 x \sqrt{7}) + 5 x \sqrt{63}$

Multiply $2$ by $5$ .

$10 (x \sqrt{7}) + 5 x \sqrt{63}$

Rewrite $63$ as $3^{2} \cdot 7$ .

Factor $9$ out of $63$ .

$10 x \sqrt{7} + 5 x \sqrt{9 (7)}$

Rewrite $9$ as $3^{2}$ .

$10 x \sqrt{7} + 5 x \sqrt{3^{2} \cdot 7}$

$10 x \sqrt{7} + 5 x \sqrt{3^{2} \cdot 7}$

Pull terms out from under the radical.

$10 x \sqrt{7} + 5 x (3 \sqrt{7})$

Multiply $3$ by $5$ .

$10 x \sqrt{7} + 15 x \sqrt{7}$

$10 x \sqrt{7} + 15 x \sqrt{7}$

Add $10 x \sqrt{7}$ and $15 x \sqrt{7}$ .

$25 x \sqrt{7}$

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