Question

What is 528−−√+63−−√528+63 in simplest radical form?

Answer 1

Answer: $13\sqrt{7}$

Step-by-step explanation:

In the simple radical form there are no square root is remain to find.

Since, the given expression,

$5\sqrt{28} + \sqrt{63}$

$5\sqrt{4\times 7} + \sqrt{9\times 7}$

$5\sqrt{4} \times \sqrt{7} + \sqrt{9}\times \sqrt{7}$

$5\times 2 \times \sqrt{7} + 3\times \sqrt{7}$

$10 \sqrt{7} + 3\sqrt{7}$

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

$13\sqrt{7}$

Since, we do not need to find further square root of 7.

Thus, the required radical form of $5\sqrt{28} + \sqrt{63}$ is $13\sqrt{7}$.

Answer 2

Answer:

$13\sqrt{7}$

Step-by-step explanation:

$5\sqrt{28} +\sqrt{63}$

To simplify the given expression we simplify each radical

$5\sqrt{28} = 5\sqrt{4*7} = 5*2\sqrt{7} =10\sqrt{7}$

$\sqrt{63} = \sqrt{9*7} =3\sqrt{7}$

$5\sqrt{28} +\sqrt{63}$

$10\sqrt{7}+3\sqrt{7}$

$13\sqrt{7}$