How do you simplify 5 the square root of 8 • 4 the square root of 7?

1 Answer
Jim G.
Apr 11, 2018

40sqrt14

Explanation:

"using the "color(blue)"law of radicals"

•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)

rArrsqrt8=sqrt(4xx2)=sqrt4xxsqrt2=2sqrt2

sqrt7" does not simplify"

rArr5xxsqrt8xx4xxsqrt7

=5xx2xxsqrt2xx4xxsqrt7

=(5xx2xx4)xxsqrt2xxsqrt7

=40sqrt14

Related questions
See all questions in Multiplication and Division of Radicals
Impact of this question
1514 views around the world
You can reuse this answer
Creative Commons License