## Answers

#### Explanation:

Simplifying...

Simplifying again:

Adding terms:

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

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)#

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