Square Root Of 20 X Square root Of 30 Help !!!?

Question

CAn u show me step By thep PLizz

Answer 1

look, sqrt(A)*sqrt(B)=sqrt(A*B)
so sqrt(20)*sqrt(30)=sqrt(20*30)
=sqrt(600)
But 600=6*100 so sqrt(600)= sqrt(6) * sqrt (100) and we know that sqrt(100)= 10
so sqrt(20) * sqrt(30)= sqrt(600)= 10* sqrt(6)

Answer 2

The product (multiplication) of two sqare roots is equal to the square root of the product. This works with any roots (square, cube, 4th, etc) as long as the powers are all the same; and it works backwards, too... (√a)*(√b) = √(a*b) = (√a)*(√b) . We'll call that fact statement [A]. So, with that under our belts, let's work the problem:

(√20)*(√30) [A]
√(20*30) Find the product
√(600) Factor the product
√(6*100) [A]
(√6)(√100) Square root of 100 is 10
10*√6 This can be an acceptable answer, but we can simplify it further by factoring 6. Check with your instructor.
10*√(2*3) [A]
10*(√2)*(√3) While less concise, this is the 'correct' answer. Depending on the level of your class and your instructor, √2√3 may be preferred to √6.

Answer 3

square root of 20 x square root of 30

equals the square root of 600

\just multiply

Answer 4

sqrt of 20 x sqrt of 30= sqrt of 600=24.4948974....