GMAT Club Around The World!!! If square root of a = 3 and square root

Question

If  \sqrt{a} = 3  and  \sqrt{b} = 4 , then  \frac{\sqrt{a} + \sqrt{b} }{\sqrt{a+b}}=

A. 1
B. 8/7
C. 7/5
D. 12/5
E. 5

Happy New Year Australia/Western Australia!

Dec 31 Event: GMAT Club Around The World  !  
  (38 new questions posted every  hour  time zone on Dec 31!)

https://gmatclub.com/forum/download/file.php?id=59744

rocky620 · Answer

√a=3, a = 9
√b=4, b=16, then 
√a+√b = 3+4 =7
√a+b= √(9+16)= √25 = 5

√a+√b / √a+b =  7/5

IMO Option C

Nipungupta9081 · Answer

IMO A

Root A + Root B = 3 + 2 = 5 ---- Numerator.

Squaring root A = 9
Squaring root B = = 16 -----Denominator

= 5 / √25 = 5/5 = 1

Posted from my mobile device

Deepakjhamb · Answer

as a is positive and b is positive a = 9 b =16

so ex becomes 3 +4 / (underoot (9+16)) = 7/5

so ans is c ) 7/5

BIDJI23 · Answer

then a=9 et b=16

Then

3+4=7
7/V25=7/5

PUSH C

bidskamikaze · Answer

If  \sqrt{a} = 3, and \sqrt{b} = 4 , then a= 9 and b= 16

So,  \frac{(\sqrt{a} + \sqrt{b}) }{ \sqrt{a + b}}  =  \frac{( 3 + 4 )}{\sqrt{25}}  =  \frac{7}{5}

Answer C.

anjanita · Answer

√a =3, therefore, a=9 and √b =4, therefore, b=16,

therefore, √a + √b = 7 and √(a + b) = √ (9 + 16) = 5

So, the answer is C

TestPrepUnlimited · Answer

Happy New Year Australia/Western Australia!

We can get  a = 9  and  b = 16 . Thus  \sqrt{a + b} = \sqrt{9 + 16} = 5 .

\frac{\sqrt{a} + \sqrt{b} }{\sqrt{a+b}}=\frac{3 + 4}{{5}} = \frac{7}{5}

Ans: C

ananya3 · Answer

IMO C

√a=3 => a = 9
√b=4 => b = 16

\frac{√a+√b}{√a+b}

=  \frac{3 + 4 }{9+16}

=  \frac{7}{√25}

=  \frac{7}{5}

TarunKumar1234 · Answer

(√a+√b)/√(a+b) = (3+4)/√(9+16) = 7/5. Ans. C

mdsaddamforgmat · Answer

IMO:C
Given rootA =3 => A =9
Also, root B = 4 => B=16

by plugging value in the given Equation will result in 7/5

Green2k1 · Answer

Correct Answer C

√a=3 a = 9

and b√=4 b =16

(√a+√b) /√(a+b)= (3+4)/√(16+9) =7/5

ShankSouljaBoi · Answer

Since , both the sides are positive we can square , without introducing any extraneous roots... so a = 9 and b = 16 .... final answer = 7/5

manasi05 · Answer

√a = 3
a = 9

√b = 4
b = 16

(√a + √b)/ √(a+b) = (3 + 4) / √(9+16) = 7/√25 = 7/5

So the correct answer will be C

MakSha · Answer

(a)^0.5 = 3 and (b)^0.5 = 4
Numerator = 7

Denominator = (3^2 + 4^2)^0.5 = (25)^0.5 = 5

Thus, 7/5 is the solution.  IMO, option C is correct .

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

GMAT Club Around The World!!! If square root of a = 3 and square root

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

GMAT Club Around The World!!! If square root of a = 3 and square root

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