How do you simplify: 4 times the square root of 18?

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Answer 1 · 2015-07-26T20:03:32

$4 \sqrt{18} = 12 \sqrt{2}$ $4sqrt 18=12sqrt2$

$4 \sqrt{18}$ $4sqrt 18$

Factor $18$ $18$ into its prime factors.y

$4 \sqrt{2 \times 3 \times 3}$ $4sqrt(2xx3xx3)$ =

$4 \sqrt{(3 \times 3) \times 2}$ $4sqrt((3xx3)xx2)$

$4 \sqrt{3^{2} \times 2}$ $4sqrt(3^2xx2)$

Apply the rule $\sqrt{a^{2}} = a$ $sqrt(a^2)=a$

$4 \times 3 \sqrt{2}$ $4xx3sqrt 2$

$12 \sqrt{2}$ $12sqrt 2$