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Sub 505 Level|   Arithmetic|   Roots|      
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Bunuel
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What is the value of 17^(1/2) + 47^(1/2), to the nearest whole number? 14 Oct 2019, 06:27
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Difficulty:

5% (low)

Question Stats:

90% (00:34) correct 10% (00:45) wrong based on 392 sessions

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What is the value of \(\sqrt{17} + \sqrt{47}\), to the nearest whole number?

A. 8
B. 11
C. 12
D. 15
E. 32
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B
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What is the value of 17^(1/2) + 47^(1/2), to the nearest whole number? Updated on: 14 Oct 2019, 11:39
Originally posted by linhmba on 14 Oct 2019, 07:41.
Last edited by linhmba on 14 Oct 2019, 11:39, edited 1 time in total.
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Close estimates are 4^2= 16; 7^2=49
7+4=11
Answer = B
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What is the value of 17^(1/2) + 47^(1/2), to the nearest whole number? 14 Oct 2019, 11:17
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Bunuel
What is the value of \(\sqrt{17} + \sqrt{47}\), to the nearest whole number?

A. 8
B. 11
C. 12
D. 15
E. 32

\(4^2 = 16\) ~ \(17\\
[m]7^2 = 49\) ~ \(47\)

Hence, \(\sqrt{17} + \sqrt{47}\) ~ \(4 + 7 = 11\) , Answer must be (B)
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What is the value of 17^(1/2) + 47^(1/2), to the nearest whole number? 13 Jun 2021, 15:15
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Bunuel
What is the value of \(\sqrt{17} + \sqrt{47}\), to the nearest whole number?

A. 8
B. 11
C. 12
D. 15
E. 32

\(\sqrt{16} = 4\)
\(\sqrt{25} = 5\)
So, \(\sqrt{17} ≈ 4.1\)

\(\sqrt{36} = 6\)
\(\sqrt{49} = 7\)
So, \(\sqrt{47} ≈ 6.8\)

So, \(\sqrt{17} + \sqrt{47}≈4.1 + 6.8≈10.9\)

Answer: B
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What is the value of 17^(1/2) + 47^(1/2), to the nearest whole number? 18 Jun 2021, 05:45
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A technique that I adopt when I have to deal with non-perfect square is to think of bigger perfect squares and then introduce decimals.

Now, instead of 17, let’s think of 1700. We know \(40^2\) = 1600 and \(41^2\) = 1681. Therefore, √1700 is just a shade above 41.
It is now easy for you to see that √17 will be a shade above 4.1

Similarly, \(70^2\) = 4900, so √4700 will be very close to 69 (less than 69).
So, √47 will be a shade below 6.9.

Therefore, √17 + √47 ≈ 4.1 + 6.9 = 11.

The correct answer option is B.

Hope that helps!
Aravind B T
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What is the value of 17^(1/2) + 47^(1/2), to the nearest whole number? 12 Dec 2023, 00:52
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