radical/exponent simplification-please help

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Lakers09: Junior | Next Rank: 30 Posts; Posts: 14; Joined: Sun Nov 02, 2008 5:49 pm

by Lakers09 » Tue Nov 04, 2008 11:29 am

I am having a difficult time simplifying the below expression. I think I am forgetting a radical or exponent rule. Any help would be appreciated.

______________
\/x^2 + (x√2)^2

__
The answer is x/3 but cant see how they arrive at it..thanks

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Source: Beat The GMAT — Problem Solving | Tue Nov 04, 2008 11:29 am

mals24: Legendary Member; Posts: 683; Joined: Tue Jul 22, 2008 1:58 pmFollowed by: 2 members; Location: Dubai; Thanked: 73 times

by mals24 » Tue Nov 04, 2008 2:39 pm

______________
\/x^2 + (x√2)^2

[sqrt(a)]^2 = a

Hence using this rule: (x√2)^2 = 2*(x^2)

_____________
\/x^2 + (2*x^2)

______
\/3*(x^2)

x\/3

Hope it helps

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