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What is 3√2 + √8 expressed in simplest radical form?

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What is 3√2 + √8 expressed in simplest radical form?

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Posted (Answer #1)

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3*sqrt 2 + sqrt 8 has to be expressed in a simple form.

8 = 2^3

sqrt 8 = (2^3)^(1/2)

= (2^2)^(1/2)*2^(1/2)

= 2*2^(1/2)

= 2*sqrt 2

3*sqrt 2 + sqrt 8

= 3*sqrt 2 + 2*sqrt 2

factor out the sqrt 2

= (3 + 2)*sqrt 2

= 5*sqrt 2

The required result is 5*sqrt 2

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