Question

what is the smallest natural number by which 1792 should be multiplied so that it becomes a perfect square? method​

Answer 1

Step-by-step explanation:

After the above Prime Factorisation we get :

2×2×2×2×2×2×2×2×7

so here now we will find the pairs:

2×2×2×2

Here we have 4 pairs of 2 but no pairs of 7 so when we add one 7 here i.e. when we multiply one 7 to 1792 we get perfect square.

1792×7=12544

so now let's find the square root of 12544

so now we have four pairs of 2 and one pair of 7

so let's multiply it together:

2×2×2×2×7 = 112

So; we will get the square root of 12544 is 112

so as per the Question : 7 is the smallest number which can multiply by 1792 to get perfect square

Hope it's Helps to you !!

Thank you

Answer 2

7 is the parfect smallest number can multiple by 1762 to get perfect square