How do you simplify 5sqrt(12)+sqrt(75)?

2 Answers
Apr 5, 2018

15sqrt3

Explanation:

Simplifying...

sqrt75

-> sqrt25 xx sqrt 3

-> 5sqrt3

Simplifying again:

5sqrt12

-> 5 sqrt4 sqrt3

-> 5 xx 2sqrt3

-> 10sqrt3

Adding terms:

5sqrt3+10sqrt3

Since the roots are the same, just add the numbers in front...

-> 15sqrt3

Apr 6, 2018

Given

5sqrt12+sqrt75

Factorizing numbers under the root sign we get

5sqrt(2xx2xx3)+sqrt(3xx5xx5)

Paring number which can be taken out of root sign

5sqrt(bar(2xx2)xx3)+sqrt(3xxbar(5xx5))
=>5xx2sqrt(3)+sqrt(3)xx5
=>10sqrt(3)+5sqrt(3)
=>sqrt(3)(10+5)
=>15sqrt(3)