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

Answer:

Option a is correct

Step-by-step 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 $a=\sqrt5, b=8, c=3\sqrt6$

$\sqrt5(8+3\sqrt6)$

⇒ $8\sqrt5+3\sqrt{5\times6}$

⇒ $8\sqrt5+3\sqrt{30}$

Hence, option a is correct.