(1/2^(1/2))/((3/2)^(1/2))

Question

\frac{\frac{1}{\sqrt{2} } }{\sqrt{\frac{3}{2} } }

A.  \frac{1}{3}

B.  \frac{\sqrt{3} }{3}

C.  \frac{\sqrt{3} }{2}

D.  \frac{2\sqrt{3} }{3}

E.  \sqrt{3}

JeffTargetTestPrep · Accepted Answer

(1/√2)/√(3/2) = (1/√2)(√2/√3) = 1/√3

As in most problems, we have to remove the radical from the denominator:

(1/√3)(√3/√3) = √3/3

Answer: B

gmatophobia · Answer

We can write the equations as shown below.

Post simplifying the equation we obtain the value  \frac{1}{\sqrt{3}}

Multiplying the numerator and denominator by  \sqrt{3} , we get  \frac{\sqrt{3}}{3}

Option B

Jake7Wimmer · Answer

Bunuel  do we have practice questions for these types of simplifying square root problems in varying difficulty?

Bunuel · Answer

Check question involving rationalization of a fraction: https://gmatclub.com/forum/5-423941.html (GMAT Prep Focus) https://gmatclub.com/forum/if-x-0-then- ... 24934.html (GMAT Prep Focus) https://gmatclub.com/forum/if-n-is-posi ... 31236.html (Official Guide) https://gmatclub.com/forum/m37-390689.html (GMAT Club Tests) https://gmatclub.com/forum/what-is-the- ... 86276.html (GMAT Club Tests) https://gmatclub.com/forum/what-is-the- ... 20830.html (GMAT Club Tests) https://gmatclub.com/forum/gmat-club-ol ... 66839.html (GMAT Club Tests) https://gmatclub.com/forum/1-2-sqrt3-64378.html (GMAT Club Tests) https://gmatclub.com/forum/m12-183920.html (GMAT Club Tests) https://gmatclub.com/forum/if-x-0-then- ... 06291.html https://gmatclub.com/forum/which-of-the ... 98531.html https://gmatclub.com/forum/27-219453.html https://gmatclub.com/forum/if-x-3-1-2-1 ... 16404.html https://gmatclub.com/forum/if-x-is-posi ... 63491.html 8. Exponents and Roots of Numbers Theory Exponents and Roots on the GMAT: Tips and hints Cyclicity and the remainders on the GMAT Questions Units digits, exponents, remainders problems Tough and tricky DS exponents and roots questions with detailed solutions Tough and tricky PS exponents and roots questions with detailed solutions Exponents DS Questions Exponents PS Questions Roots DS Questions Roots PS Questions Check below for more: ALL YOU NEED FOR QUANT ! ! ! Ultimate GMAT Quantitative Megathread Hope it helps.

Krunaal · Answer

\frac{1}{\sqrt{2}}/\sqrt{\frac{3}{2}}  =  \frac{1}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{3}}  =  \frac{1}{\sqrt{3}}  =  \frac{1}{\sqrt{3}}*\frac{\sqrt{3}}{\sqrt{3}}  =   \frac{\sqrt{3}}{3}

Answer B.

Ilanchezhiyan · Answer

I understand that squaring the numerator and denominator is wrong. NBut I don't get why? Can anyone explain

Bunuel · Answer

\frac{\frac{1}{\sqrt{2} } }{\sqrt{\frac{3}{2} } }

A.  \frac{1}{3}

B.  \frac{\sqrt{3} }{3}

C.  \frac{\sqrt{3} }{2}

D.  \frac{2\sqrt{3} }{3}

E.  \sqrt{3}

You can solve this question by squaring. However, since we need the exact value from the options, we also need to square the options to see which one matches the result we get by squaring the expression.

(\frac{\frac{1}{\sqrt{2}}}{\sqrt{\frac{3}{2}}})^2=\frac{\frac{1}{2}}{\frac{3}{2}}=\frac{1}{3}

So we need the option whose square is  \frac{1}{3} .

Option B is  \frac{\sqrt{3} }{3} , and:

(\frac{\sqrt{3} }{3})^2 = \frac{3}{9} = \frac{1}{3}

Answer: B.

Ilanchezhiyan · Answer

Thanks Bunuel, Got it!

(1/2^(1/2))/((3/2)^(1/2))

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

(1/2^(1/2))/((3/2)^(1/2))

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards