Which radical expression represents the perimeter of a triangle if the side lengths of the triangle are given by the expressions 13√80, 3√125, and √500? A) 16 √5 B) 26√5 C) 39√5 D) 77√5

Question

Mathematics

Tate Sutton

29 March, 08:46

Which radical expression represents the perimeter of a triangle if the side lengths of the triangle are given by the expressions 13√80, 3√125, and √500? A) 16 √5 B) 26√5 C) 39√5 D) 77√5

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Answers (1)

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Bossy · Answer 1

D

Step-by-step explanation:

so basically to add up radicals you need to make the number inside the square root the same. what you have to do to do that is find squares inside the number as a factor.

13√80=13*2√20=13*2*2√5=52√5

3√125=3*5√5=15√5

√500=10√5

so all of them have 5 in the square root so you can add them up to equal 77√5