what is the smallest natural number by which 1792 should be multiplied

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

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

Answer»

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