How do you simplify $sqrt72-sqrt50$ ?

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Answer 1 · 2015-11-06T02:46:07

$sqrt 72-sqrt 50=sqrt 2$

$sqrt 72-sqrt 50$

Write the prime factors for $72$ .

$sqrt(2xx2xx2xx3xx3)-sqrt 50$

Group like terms in pairs.

$sqrt((2xx2)xx2xx(3xx3))-sqrt 50$

Simplify.

$sqrt(2^2xx2xx3^2)-sqrt 50$

Apply square root rule $sqrt(a^2)=a$

$2xx3sqrt2-sqrt50$

$6sqrt 2-sqrt 50$

Write the prime factors for $50$ .

$6sqrt 2-sqrt(2xx5xx5)$

Group like terms in pairs.

$6sqrt 2-sqrt(2xx(5xx5))$

Simplify.

$6sqrt 2-sqrt(2xx5^2)$

Apply square root rule $sqrt(a^2)=a$

$6sqrt 2-5sqrt2=$

$sqrt 2$

How do you simplify sqrt72-sqrt50sqrt72-sqrt50?