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# 24^(1/2) - 16^(1/2) - 6^(1/2) =

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Status: GMAT Club Team Member
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Joined: 02 Nov 2016
Posts: 5930
GPA: 3.62
24^(1/2) - 16^(1/2) - 6^(1/2) =  [#permalink]

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20 Mar 2020, 23:11
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Difficulty:

15% (low)

Question Stats:

77% (00:48) correct 23% (01:40) wrong based on 35 sessions

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$$\sqrt{24} - \sqrt{16} - \sqrt{6} =$$

(A) $$\sqrt{6} - 4$$

(B) $$4 - 2 \sqrt{2}$$

(C) $$2$$

(D) $$\sqrt{6}$$

(E) $$2\sqrt{2}$$

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Posts: 3374
Re: 24^(1/2) - 16^(1/2) - 6^(1/2) =  [#permalink]

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21 Mar 2020, 07:30
1
1

Solution

To find
We need to determine
• The value of the given expression: √24 − √16 − √6

Approach and Working out
Simplifying the given expression, we get:
• √24 − √16 − √6
= 2√6 – 4 – √6
= √6 – 4

Thus, option A is the correct answer.

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Re: 24^(1/2) - 16^(1/2) - 6^(1/2) =   [#permalink] 21 Mar 2020, 07:30