How do you simplify #sqrt3(-3sqrt7)#?

1 Answer
Jun 17, 2016

Answer:

#-3sqrt21#

Explanation:

Multiply the bracket out to give #-3 xx sqrt3 xx sqrt7#

If roots are being multiplied, they can be combined into one.

#-3sqrt21#

But I would not say that this is any simpler. 21 has no factors which are squares, so this is as far as we could go without using a calculator.