what is the square root of (6a) times the square root of (3a) plus the square root of (2a)?

Question

what is the square root of (6a) times (the square root of (3a) + the square root of (2a))?

Answer 1

In the set of real numbers for any a ≥ 0 and b ≥ 0 :

√(ab) = √a * √b 
~~~~~~~~~~~~~~ 

√(6a)√(3a) + √(2a)
(a ≥ 0)

√(18a²) + √2 * √a =

√(9a²) * √2 + √2 * √a = 

3a√2 + √2 * √a = 

√2(3a + √a) 

Answer 2

Hi Courtney;

√(6a)√(3a)+√2a

We will execute the multiplication before the addition.

In algebra, the Order of Operations is...

Parentheses...

Exponential...

Multiplication...

Division...

Addition...

Subtraction...

I placed multiplication and addition in bold-face because, even though some elements are in parentheses, we only need to concern ourselves with multiplication and addition.

The acronym PEMDAS, can be easily remembered as...

Please excuse my Dear Aunt Sally.

√18a²+√2a

a√18+√2a