can i see full line of this sqrt(2)*(sqrt(18)-2^2)+sqrt(32)

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can i see full answer of this? sqrt(2)*(sqrt(18)-2^2)+sqrt(32)

Guest Sep 25, 2016

geno3141 · Answer 1 · 2016-09-25T06:57:21

sqrt(2) * ( sqrt(18) - 2^2 ) + sqrt(32)

Since 2^2 = 4:

= sqrt(2) * ( sqrt(18) - 4 ) + sqrt(32)

Using the distributive property:

= sqrt(2) * sqrt(18) - 4 * sqrt(2) + sqrt(32)

= sqrt(36) - 4 * sqrt(2) + sqrt(32)

Since sqrt(36) = 6:

= 6 - 4 * sqrt(2) + sqrt(32)

Since 4 * sqrt(2) is simply 4sqrt(2)

= 6 - 4sqrt(2) + sqrt(32)

Since sqrt(32) = sqrt(16) * sqrt(2) = 4 * sqrt(2) = 4sqrt(2)

= 6 - 4sqrt(2) + sqrt(2)

= 6