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# Rationalize the expression and simplify Sqrt10/((sqrt5) -2)

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CEO
Joined: 29 Mar 2007
Posts: 2523
Rationalize the expression and simplify Sqrt10/((sqrt5) -2) [#permalink]

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07 Jan 2009, 15:17
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Rationalize the expression and simplify

Sqrt10/((sqrt5) -2)

SVP
Joined: 29 Aug 2007
Posts: 2457

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07 Jan 2009, 16:22
GMATBLACKBELT wrote:
Rationalize the expression and simplify

Sqrt 10/((Sqrt 5) -2)

= $$Sqrt 10/((Sqrt 5) -2)$$

Multiply neumerator and denominator by $$((Sqrt 5) + 2)$$

= $$Sqrt 10 ((Sqrt 5) + 2)$$
= $$Sqrt 50 + Sqrt 40)$$
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CEO
Joined: 29 Mar 2007
Posts: 2523

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08 Jan 2009, 06:53
GMAT TIGER wrote:
GMATBLACKBELT wrote:
Rationalize the expression and simplify

Sqrt 10/((Sqrt 5) -2)

= $$Sqrt 10/((Sqrt 5) -2)$$

Multiply neumerator and denominator by $$((Sqrt 5) + 2)$$

= $$Sqrt 10 ((Sqrt 5) + 2)$$
= $$Sqrt 50 + Sqrt 40)$$

Ans. is 5sqrt2 + 2sqrt10. Thanks though. I forgot we need to multiply by (sqrt5 + 2) and not (sqrt5 -2)
Manager
Joined: 02 Aug 2007
Posts: 221
Schools: Life

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08 Jan 2009, 08:46
multiply numerator and denominator by ((sqrt 5) + 2)
this i enables us to take our the square root from the denominator
we end up with:
[sqrt10 ((sqrt5) + 2) ] / ((sqrt5) - 2) ((sqrt5) + 2)
[sqrt10 ((sqrt5) + 2) ] / (5 - 4)
Re: Rationlize the Exp.   [#permalink] 08 Jan 2009, 08:46
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# Rationalize the expression and simplify Sqrt10/((sqrt5) -2)

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