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# What is the value of 2/(2- √2)?

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What is the value of 2/(2- 2)? [#permalink]
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Bunuel
What is the value of $$\frac{2}{2- \sqrt{2}}$$?

(A) 1
(B) 2
(C) 1 + √2
(D) 2 + √2
(E) 4

Another approach:

All GMAT test-takers should all memorize the following approximations:
√2 ≈ 1.4
√3 ≈ 1.7
√5 ≈ 2.2

So, 2/(2 - √2) ≈ 2/(2 - 1.4)
≈ 2/(0.6)
≈ 3.3

(A) 1 nope (ELIMINATE)
(B) 2 nope (ELIMINATE)
(C) 1 + √2 ≈ 1 + 1.4 ≈ 2.4 nope (ELIMINATE)
(D) 2 + √2 ≈ 2 + 1.4 ≈ 3.4 looks good. KEEP
(E) 4 nope (ELIMINATE)

Cheers,
Brent

Originally posted by BrentGMATPrepNow on 25 Apr 2017, 06:17.
Last edited by BrentGMATPrepNow on 30 Jul 2022, 08:17, edited 1 time in total.
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Re: What is the value of 2/(2- 2)? [#permalink]
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Re: What is the value of 2/(2- 2)? [#permalink]