396 - By which smallest number this number should be divided, so that the result becomes a perfect square? Find the square root of the result obtained.
Answers
Answered by
4
Hey Mate !!
the prime Factorization of 396 is,
396 = 2 × 2× 3 × 3 × 11
Here, 2 and 3 are paired mean while the number 11 is unpaired. Hence, we should divide 396 with 11.
396/11 = 36
The required number is 36
The prime Factorization of 36 is,
36 = 2 × 2 × 3× 3
= 2 × 3
= 6
The Square root of 36 is 6.
the prime Factorization of 396 is,
396 = 2 × 2× 3 × 3 × 11
Here, 2 and 3 are paired mean while the number 11 is unpaired. Hence, we should divide 396 with 11.
396/11 = 36
The required number is 36
The prime Factorization of 36 is,
36 = 2 × 2 × 3× 3
= 2 × 3
= 6
The Square root of 36 is 6.
Answered by
2
Solution :
Resolving 396 into prime factors
we get,
396 = 2×2×3×3×11
= (2×2)×(3×3)×11
We can see that 2 and 3 exists
in pairs while 11 is alone .
So, we must divide 396 by 11.
Therefore perfect square
obtained = 395/11 = 36
36 = 2 × 2 × 3 × 3
The square root of 36
= √36
= √(2×2×3×3)
= 2 × 3
= 6
••••
Similar questions