Question

Find the smallest natiral number by which1008 should be multiplied to make it a perfect square. i need full explanation​

Answer 1

Here, prime factor 7 has no pair. Therefore 252 must be multiplied by 7 to make it a perfect square.

$\therefore252\times7=1764∴252×7=1764$

And (i) $\sqrt{1764}=2\times3\times7=42$

1764

​

=2×3×7=42

Answer 2

Answer:

7

Step-by-step explanation:

1008=2×2×2×2×3×3×7

√1008= 2*2*3*√7

it's not perfect square as √7 is left

to make it perfect square, it should be multiplied with 7.

then the num will be 1008*7=7056

√7056=84