How do you simplify #sqrt(20)*sqrt(5)#?

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Answer 1 · 2015-12-20T17:28:14

10

Write as : #sqrt(4xx5)xxsqrt(5)#

Giving: #sqrt(4)xxsqrt(5)xxsqrt(5)#

#=> 2xx5 = 10#

Answer 2 · 2015-12-20T17:53:45

#10#

#sqrtaxxsqrtb=sqrt(ab)#

(when #a,b>=0)#

Thus,

#sqrt20xxsqrt5=sqrt(20xx5)=sqrt100=10#