How do you simplify #sqrt15sqrt3+sqrt152sqrt5#?

Question

1003 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-16T17:20:44

#3sqrt5 + 10sqrt3#

If square roots are being multiplied or divided they can be combined into one square root. Write the numbers as the product of prime factors.

#sqrt15 xxsqrt3 + sqrt15 xx 2sqrt5#

=#sqrt(5xx3xx3) + 2sqrt(3xx5xx5)#

=#3sqrt5 + 2xx5sqrt3#

=#3sqrt5 + 10sqrt3#

How do you simplify #sqrt15*sqrt3+sqrt15*2sqrt5#?