Question

Find the smallest whole number by which 1008 should bemultiplied so as to get the perfect square number also find the square root of the square number as obtained

Answer 1

Answer:

Smallest no. is 7

Step-by-step explanation:

Hit and trial method is the only method I suggest

Go for the multiplication table of 1008 and after multiplying with 7 and taking square root of the answer you get perfect square.

1008×7=7056

$\sqrt{7056 = 74}$

Note:- The only thing you should know is how to find out the square root

Hope it helps

Answer 2

Answer:

${\huge{\underline{\underline{\sf{\blue{Question:-}}}}}}$

Find the smallest whole number by which 1008 should bemultiplied so as to get the perfect square number also. Find the square root of the square number as obtained.

${\huge{\underline{\underline{\sf{\blue{Solution:-}}}}}}$

We write the prime factors of 1008 .

1008 = 2 × 2 × 2 × 2 × 3 × 3 × 7

Grouping into pairs of equal factors , 7 is left out .

So,

We must multiply 1008 by 7 to get a perfect square .

1008 × 7 = 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7

$∴ \sqrt{1008 \times 7} = 2 \times 2 \times 3 \times 7 = 84$