How do you simplify # 3sqrt7 - 5sqrt7#?

2 Answers

#-2sqrt7#

Explanation:

Subtract both radicals while keeping the radicand the same. The radicand contains the value inside the square root symbol.

#3sqrt7 - 5sqrt7#

#=-2sqrt7#

May 13, 2017

#-2sqrt7#

Explanation:

When surds have the same number in the square roots, you can subtract or add them directly.

#asqrt2 - bsqrt2 = (a-b)sqrt2#

Hence, #3sqrt7-5sqrt7 = -2sqrt7#