How do you multiply #sqrt81*sqrt36#?

2 Answers
Jul 3, 2018

Answer:

#+-54#

Explanation:

Given: #sqrt81*sqrt36#

Use the fact that #sqrta*sqrtb=sqrt(ab) \ AAa,b>=0#.

#=sqrt(81*36)#

#=sqrt(2916)#

#=sqrt(54^2)#

Now, use the fact that #sqrt(a^2)=+-a#.

#=+-54#

Jul 3, 2018

Answer:

#sqrt(81) * sqrt(36) = +-54#

Explanation:

It can be done either of 2 ways: take square root first, then multiply
or multiply first, then take square root.

#sqrt(81) * sqrt(36) = +-9 * +-6 = +-54#

#sqrt(81) * sqrt(36) = sqrt(81*36) = sqrt(2916) = +-54#

I hope this helps,
Steve