How do you simplify $3 times sqrt 8 + sqrt 18$ ?

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Answer 1 · 2016-02-07T02:25:26

$3xxsqrt8+sqrt18=9sqrt 2$

$3xxsqrt8+sqrt18$

Factor $sqrt8$ .

$sqrt(2xx2xx2)=$

$sqrt(2^2xx2)$

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

$sqrt(2^2xx2)=2sqrt 2$

$sqrt 8=2sqrt 2$

Rewrite the original expression.

$3xx2sqrt2+sqrt18$

Factor $sqrt 18$ .

$sqrt(2xx3xx3)=$

$sqrt(2xx3^2)=$

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

$sqrt(2xx3^2)=3sqrt 2$

$sqrt 18=3sqrt 2$

Rewrite the expression.

$3xx2sqrt2+3sqrt2$

Simplify and add both terms.

$6sqrt 2+3sqrt2=$

$9sqrt 2$

How do you simplify 3 times sqrt 8 + sqrt 183 times sqrt 8 + sqrt 18?