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If the decimal part of 5 is x, what is the decimal part of 45?

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If the decimal part of 5 is x, what is the decimal part of 45?

by Max@Math Revolution » Mon Apr 20, 2020 4:10 am

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[GMAT math practice question]

If the decimal part of \(\sqrt{5}\) is x, what is the decimal part of \(\sqrt{45}\) ?

A. 3x - 2
B. 3x - 1
C. 3x
D. 3x + 1
E. 3x + 2
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Re: If the decimal part of 5 is x, what is the decimal part of 45?

by Max@Math Revolution » Wed Apr 22, 2020 7:02 am
=>

Since 2 < √5 < 3, we have x = √5 - 2.
Since 6 < √45 < 7, the decimal part of √45 is √45 – 6 = 3√5 – 6 = 3(√5 - 2) = 3x.

Therefore, C is the answer.
Answer: C
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