What is the value of (√700 - √112)/√1008

Question

What is the value of  \frac{√700 - √112}{√1008} ?

A. √15/√34
 
B. 1/4

C. 1/3

D. √157/(6√6)
 
E. 1/2

PKN · Answer

Nearest perfect of 700 is 696= 26^2 
Nearest perfect of 112 is 100= 10^2 
Nearest perfect of 1008 is 961= 31^2

Now,  \frac{√700 - √112}{√1008} = \frac{26-10}{31}=\frac{16}{31}=\frac{1}{2} (Approx)

Ans. (E)

pradeep15793 · Answer

((10√7) - (4√7))/(12√7)
 = 6√7/12√7 = 1/2

Hence E

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sudarshan22 · Answer

= √700 - √112 / √1008
= ( √7*100 - √7*16 ) / ( √7*144 )
= ( 10√7 - 4√7 ) / 12√7
= 6√7 / 12√7
= 1 / 2

Hence,   E  .

Abhishek009 · Answer

\frac{√700 - √112}{√1008}

=  10\sqrt{7} - 4\sqrt{7}/12\sqrt{7}

=  3\sqrt{7}/12\sqrt{7}

= \frac{1}{4} , Answer must be (B)

Bismarck · Answer

OA:E

\frac{\sqrt{700}-\sqrt{112}}{\sqrt{1008}}

=\frac {\sqrt{7*10^2}-\sqrt{7*4^2}}{\sqrt{7*12^2}}

=\frac {10\sqrt{7}-4\sqrt{7}}{12\sqrt{7}}=\frac {6\sqrt{7}}{12\sqrt{7}}=\frac{6}{12}=\frac{1}{2}

Arro44 · Answer

I think the yellow part leads to the wrong result

JeffTargetTestPrep · Answer

√700 = √100 x √7 = 10√7

√112 = √16 x √7 = 4√7

√1008 = √144 x √7 = 12√7

So we have:

(10√7 - 4√7)/12√7

6√7/12√7

6/12

1/2

Answer: E

EgmatQuantExpert · Answer

Solution 
   To find:  
The value of  \frac{\sqrt{700}-\sqrt{112}} {\sqrt{1008}}

Approach and Working:   
•  \frac{\sqrt{700}-\sqrt{112}} {\sqrt{1008}} =  \frac{\sqrt{7*100}- \sqrt{7*16}}{\sqrt{16*9*7}} 
•  \frac{10 \sqrt{7} – 4 \sqrt{7}}{12 \sqrt{7}} 
• = \frac{6 \sqrt{7}} {12 \sqrt{7}} 
• = \frac{1}{2}

Hence, the correct answer is option E.

Answer: E

https://e-gmat.com/blogs/wp-content/uploads/2018/08/Free-Session-Algebra-e1533292089856.jpg

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What is the value of (√700 - √112)/√1008

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What is the value of (√700 - √112)/√1008

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