How do you simplify #sqrt3*3sqrt21#?

2 Answers
May 17, 2018

Answer:

#9sqrt(7)#

Explanation:

As you multiply roots, then the equation can become
#3sqrt(63)#
but we can take out the 3, making it
#9sqrt(7)#

May 17, 2018

Answer:

#9sqrt7#

Explanation:

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

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

#rArrsqrt3xx3xxsqrt21=3xxsqrt(3xx21)=3sqrt63#

#3sqrt63=3(sqrt(9xx7))=3(sqrt9xxsqrt7)=3(3sqrt7)=9sqrt7#