Question

what is the smallest number by which 3468 multiplied to make it a perfect square ? find the perfect square so optained also find the number whose square is the new number​

Answer 1

Answer:

3468 should be multiplied by 3

Step-by-step explanation:

When we multiple 3468 by 3 we get 10404 which is a square of 102

Answer 2

Answer:

here you go with your answer

Step-by-step explanation:

Correct option is A)

We are going to find prime factors of 3458

3468=2×1734

=2×2×867

=2×2×3×289

=2×2×3×17×17

Now, we are going to make a group of equal number.

=(2×2)×(17×17)×3

By observation, 3 prime factor left out.

So, multiply by 3 we get,

3468×3 =(2×2)×(17×17)×(3×3)

10404=(2×3×17)×(2×3×17)

=(102)×(102)

=(102)

2

∴ To make perfect square we have to multiplied 3468 by 3.