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

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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

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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 .

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

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