How do you simplify $sqrt500-sqrt180+sqrt80$ ?

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Answer 1 · 2016-07-16T19:22:41

$8sqrt5$

Write each number as the product of its prime factors.

$sqrt500-sqrt180+sqrt80$

= $sqrt(5^2 xx 2^2 xx 5) - sqrt(3^2 xx 2^2 xx 5) + sqrt(2^4 xx5)$

Find the square roots where possible.

= $10sqrt5 - 6sqrt5 + 4sqrt5$

= $8sqrt5$

How do you simplify sqrt500-sqrt180+sqrt80sqrt500-sqrt180+sqrt80?