Question

What is the product of Seven square root eight times four square root five? Simplify your answer.

Twenty eight radical ten
Fifty six radical two
Fifty six radical ten
Two hundred eighty radical four

Answer 1

first you would just multiply the square root parts together

Answer 2

7√8*4√5
=

Answer 3

sqrt(A) * sqrt(B) = sqrt(A*B)
sqrt(8) * sqrt(5) = ?

Answer 4

40?

Answer 5

Wait what?!?!?

Answer 6

good, sqrt(40)

now we just multiply the non-radical parts to get 7 * 4 = 28

Answer 7

now we go back to our sqrt(40) and see if we can factor out any perfect squares

Answer 8

40 = 4*10

sqrt(40) = sqrt(4)*sqrt(10)

sqrt(4) = ?

Answer 9

square root of 4 is 2

Answer 10

good, so sqrt(40) = sqrt(4)*sqrt(10) = 2*sqrt(10)

so let's put everything together

28* 2*sqrt(10) = 56sqrt(10) = C

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