Question

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

Answer 1

`13√(7)`

Explanation:

`5√(28) +√(63)`

To simplify the given expression we simplify each radical

`5√(28) = 5√(4*7) = 5*2√(7) =10√(7)`

`√(63) = √(9*7) =3√(7)`

`5√(28) +√(63)`

`10√(7)+3√(7)`

`13√(7)`

Answer 2

Answer:
`13√(7)`

Explanation:

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

Since, the given expression,

`5√(28) + √(63)`

`5√(4* 7) + √(9* 7)`

`5√(4) * √(7) + √(9)* √(7)`

`5* 2 * √(7) + 3* √(7)`

`10 √(7) + 3√(7)`

`(10 + 3)√(7)`

`13√(7)`

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

Thus, the required radical form of
`5√(28) + √(63)` is
`13√(7)`.