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

Question

2841 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-10T23:55:50

#-2sqrt7#

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

#3sqrt7 - 5sqrt7#

#=-2sqrt7#

Answer 2 · 2017-05-13T03:16:55

#-2sqrt7#

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#