Aptitude - Square Root and Cube Root - Discussion

Discussion Forum : Square Root and Cube Root - General Questions (Q.No. 2)
2.
What should come in place of both x in the equation x = 162 .
128 x
12
14
144
196
Answer: Option
Explanation:

Let x = 162
128 x

Then x2 = 128 x 162

   = 64 x 2 x 18 x 9

   = 82 x 62 x 32

   = 8 x 6 x 3

   = 144.

x = 144 = 12.

Discussion:
35 comments Page 3 of 4.

Chandu said:   1 decade ago
@Sameer.

x square = 144.
Then x = square root of 144.
x = 12.

Kavya K said:   1 decade ago
@Sameer, that's not X = square root 128*162.

It should be X^2 = square root 128*162.

= square root 64*2*81*2.

= square root 64*81*4.

= 8*9*2.

X^2 = 144.

=> X = 144/2.

= 12.

Sameer said:   1 decade ago
X = square root 128*162

= square root 64*2*81*2

= square root 64*81*4

= 8*9*2 = 144

Why answer is showing 12?

Harshi said:   1 decade ago
Your method is not correct the sqrt of 169 is 13 by your method it is also 12.

Lavanya said:   1 decade ago
Shortcut method is applicable to only number 144 its not applicable to all 3 digit number. Try to give shortcut method to all numbers.

Govind said:   1 decade ago
The above said method is easy to find. Because we can split the no by using the square values we know.

Ravi said:   1 decade ago
@Jiyan prathap.

By using your method find the square root of 196.

Pradeep said:   1 decade ago
128*162 = 20736.

Now find the square root by long division method.

Square root = 144.

Thus x = 12.

Kalyani said:   1 decade ago
@Jiyan prathap. Can we find square root of all others too by using this method?

Jiyan prathap said:   1 decade ago
There is a short cut to find square root

For Eg: 144 which is the square of 12.

First leave the last two digits of 144. The remaining is 1, 1 comes in 1 table alone.

Hence the first number of the answer is 1.

To find the second digit always add 1 to the first digit of the answer i.e 1+1=2 which is the second digit. Combine together the answer is 12.


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