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Squares and square roots
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Class 8 Finding square root through prime factorization Worksheets

1.

Is 190 a perfect square? Find out using prime factorization

2.

Is 725 a perfect square? Find out using prime factorization.

3.

Is 2352 a perfect square? If not, find the smallest multiple of 2352 which is a perfect square. Find the square root of the new number.

4.

Find the smallest number by which 9408 must be divided so that the quotient is a perfect square. Find the square root of the quotient.

5.

Find the smallest whole number by which it should be divided so as to get a perfect square. Also find the square root of the square number so obtained. 2645

6.

Find the smallest whole number by which it should be multiplied so as to get a perfect square. Also find the square root of the square number so obtained. 1458

7.

Find the smallest square number that is divisible by each of the numbers 8, 15 and 20.

8.

Find the smallest square number that is divisible by each of the numbers 16, 30 and 40.

9.

The students of Collage donated Rs 2401 in all, for Disaster management for National Relief. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.

10.

1681 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.

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