How do you simplify (64+sqrt(128) )/ 8?

1 Answer
Meave60
Jun 27, 2015

Simplify the numerator of (64+sqrt 128)/8 to (64+sqrt (2xx64))/8. Simplify (64+sqrt(2xx64))/8 to (64+8sqrt 2)/8. Factor out 8 from (64+8sqrt 2)/8 to get (8(8+sqrt 2))/8. Cancel the 8 in the numerator and denominator to get 8+sqrt 2.

Explanation:

(64+sqrt(128))/8

Simplify.

(64+sqrt(2xx64))/8 =

(64+sqrt 2sqrt 64)/8 =

(64+8sqrt 2)/8 =

Factor out 8 in the numerator.

(8(8+sqrt 2))/8

Cancel the 8 in the numerator and denominator.

(cancel 8(8+sqrt 2))/cancel8 =

(8+sqrt 2)

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