Answered

Simplify


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


Select one:

A8 square root of 5 end root plus 3 square root of 30
B5 square root of 10
C130
DNone of the above

Verified Answer :

davidhndz04

The answer for this question is A.

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.

Related Questions