Question

Simplify

square root of 5 open parentheses 8 plus 3 square root of 6 close parentheses. (1 point)

Select one:
a. 8 square root of 5 end root plus 3 square root of 30
b. 5 square root of 10
c. 130
d. None of the above

Answer 1

The answer for this question is A.

Answer 2

Option a is correct

Explanation:

Given the expression

`\sqrt5(8+3\sqrt6)`

we have to simplify the above expression.

Expression:
`\sqrt5(8+3\sqrt6)`

Using distributive identity

`a.(b+c)=a.b+a.c`

Put
`a=\sqrt5, b=8, c=3\sqrt6`

`\sqrt5(8+3\sqrt6)`

⇒
`8\sqrt5+3√(5*6)`

⇒
`8\sqrt5+3√(30)`

Hence, option a is correct.