How do you simplify sqrt(15x) times sqrt(21x)?

2 Answers
Jul 11, 2016

3xsqrt(35)

Explanation:

Notice that 3 is a factor of both 15 and 21 and so is x

sqrt(3xx5xx x)xxsqrt(3xx7xx x)

sqrt(3x)xxsqrt(5)xx sqrt(3x)xxsqrt(7)

But sqrt(3x)xxsqrt(3x)=3x

3xsqrt(5)sqrt(7) = 3xsqrt(5xx7)=3xsqrt(35)

sqrt(15x)*sqrt(21x)=3xsqrt(35)

Explanation:

sqrt(15x)*sqrt(21x)

sqrt((15x)*(21x))

sqrt((3)(5)x*3(7)x)

sqrt(3^2*x^2*35)

3xsqrt(35)

God bless....I hope the explanation is useful.