Question

find the smallest number by which to multiple 1008 and make it square find the square root​

Answer 1

Answer:

first prime factorise 1008

you get = (2×2)×(2×2)×(3×3)×7

here if we multiply by 7 we'll get a perfect square

that is 1008 × 7 = 7056

and square root = 2×2×3×7 = 84

Answer 2

Answer:

7, 84

Step-by-step explanation:

Factor $1008$.

• $1008=2^4*3^2*7$

Multiplying 7 and square number to 1008 makes another square number.

Smallest square number is $1^2=1$.

The smallest number is 7.

Multiply 7.

$1008*7=2^4*3^2*7^2=(2^2*3*7)^2$

∴$\sqrt{(2^2*3*7)^2} =2^2*3*7=84$