How do you simplify $sqrt100 - sqrt130 + sqrt130 - sqrt169$ ?

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Answer 1 · 2015-09-19T16:51:04

$sqrt(100) - sqrt(130) + sqrt(130) - sqrt(169) = -3$

The two middle terms, $- sqrt(130)$ and $sqrt(130)$ , cancel each other out and can be removed.

Use prime factorization to find and simplify the perfect squares:

$sqrt(100) - sqrt(169) = sqrt(5*5*2*2) - sqrt(13*13) = sqrt(5^2)sqrt(2^2) - sqrt(13^2) = 5*2 - 13 = -3$

How do you simplify sqrt100 - sqrt130 + sqrt130 - sqrt169sqrt100 - sqrt130 + sqrt130 - sqrt169?