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25 Feb 2017, 07:05
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D
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Difficulty:
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Question Stats:
93% (01:18) correct
7%
(01:47)
wrong
based on 311
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What is \(\sqrt{363} + \sqrt{147}+ \sqrt{27}\)
A. \(6\sqrt{6}\)
B. \(7\sqrt{6}\)
C. \(11\sqrt{3}\)
D. \(21\sqrt{3}\)
E. \(30\sqrt{3}\)
A. \(6\sqrt{6}\)
B. \(7\sqrt{6}\)
C. \(11\sqrt{3}\)
D. \(21\sqrt{3}\)
E. \(30\sqrt{3}\)
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vikasp99
What is √363+√147 + √27?
A) 6√6
(B) 7√6
(C) 11√3
(D) 21√3
(E) 30√3
A) 6√6
(B) 7√6
(C) 11√3
(D) 21√3
(E) 30√3
√363+√147 + √27
= √121*√3+√49*√3+√9*√3
= (11+7+3)*√3
= 21√3
Hence option D is correct
Hit Kudos if you liked it
Updated on: 08 Feb 2021, 09:12
Originally posted by BrentGMATPrepNow on 25 Feb 2017, 07:12.
Last edited by BrentGMATPrepNow on 08 Feb 2021, 09:12, edited 1 time in total.
Last edited by BrentGMATPrepNow on 08 Feb 2021, 09:12, edited 1 time in total.
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vikasp99
What is √363 + √147 + √27?
A) 6√6
(B) 7√6
(C) 11√3
(D) 21√3
(E) 30√3
A) 6√6
(B) 7√6
(C) 11√3
(D) 21√3
(E) 30√3
To simplify roots, we'll use the following rule: √(ab) = (√a)(√b)
√363 = √(121 x 3)
= (√121)(√3)
= 11√3
√147 = √(49 x 3)
= (√49)(√3)
= 7√3
√27 = √(9 x 3)
= (√9)(√3)
= 3√3
So, √363 + √147 + √27 = 11√3 + 7√3 + 3√3
= 21√3
Answer: D
