Question

What is the least number by which 30375 should be multiplied to get a perfect square

Answer 1

Answer:

HOPE IT HELPS YOU

Step-by-step explanation:

ANSWER IN THE ATTACHMENT

Answer 2

Answer:

15

Step-by-step explanation:

For this, we use the method called prime factorization

1) Find the prime factors of the given number.

2) To find the square root, we have to group the factors as pairs.

3) By grouping the factors as pairs, we may find some of the numbers which do not have pairs. These are the required numbers to be multiplied in order make it as a perfect square.

30375 The prime factors are: 3 x 3 x 3 x 3 x 3 x 5 x 5 x 5

one of the 3 and 5 has no pair so let we multiply them

3 × 5 = 15

therefore 15 is the least number by which 30375 should be multiplied to get a perfect square.

let us check our answer.

√(30375 × 15) = √(455625) = 675