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3+ sqrt of 48/ sqrt of 3

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3+ sqrt of 48/ sqrt of 3 [#permalink] New post   27 Jun 2022, 03:00
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Quantity A
Quantity B
\(\frac{ 3 \sqrt{48 }}{\sqrt{ 3} } \)
\( 12\)



A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

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C
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3+ sqrt of 48/ sqrt of 3 [#permalink] New post   08 Jul 2022, 06:13
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\(\frac{3 \sqrt{48}}{\sqrt{3}}\)

Two approaches

\(\frac{3 \sqrt{48}}{\sqrt{3}} * \frac{\sqrt{3}}{\sqrt{3}} = \frac{3 \sqrt{144}}{3} = \frac{3*12}{3}=12\)

OR

factor out the roots

\(\frac{3 \sqrt{2^2*2^2*3}}{\sqrt{3}}= \frac{3*2*2 \sqrt{3}}{\sqrt{3}} =12\)

C is the answer
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Re: 3+ sqrt of 48/ sqrt of 3 [#permalink] New post   08 Jul 2022, 06:14
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Re: 3+ sqrt of 48/ sqrt of 3 [#permalink]
08 Jul 2022, 06:14
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