Question

for each of the following number by which it should be multiplied so as to get a perfect square number. also find the square root of the square number so obtained. number is 1620. Please give answer me step by step ​

Answer 1

Answer:

sorry bro I'm not sure about answer

Answer 2

Step-by-step explanation:

Prime factorization method for square roots:

1.First of all find the prime factors of the given number.

2.Arrange the factor in pairs such that the two primes in each pair are equal.

3.Take one number from each pair and multiply all such numbers.

4. The product obtained in step 3 is the required square root of the given number.

========================================================By prime factorization of 1620, we get

1620 = 2 x 2 x 3 x 3 x 3 x 3 x 5

Here, 2 and 3 are in pair, but 5 is not in pair. Hence, the given number is not a perfect square.

Hence, 1620 needs to be divided by 5 to become a perfect square

 

1620 /5 =( 2 x 2) x (3 x 3) x(3 x 3) x 5/5

 

324= ( 2 x 2) x (3 x 3) x(3 x 3)

Thus, 324 has 3 pairs of equal prime factors. Hence, 324 is a perfect square & √324= 2× 3× 3= 18

Thus, the required smallest whole number by which it should be divided so as to get a perfect square number is 5 and the square root is √324= 18.

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