4. By which number 175 is to be multiplied so that the product is a perfect square? Also, find
the square root of the product.
5. By which number 675 is to be multiplied so that the product is a perfect square? Also, find
the square root of the product.
6. By which number 1568 is to be multiplied so that the product is a perfect square? Also, find
the square root of the product.
7. By which number 8450 is to be divided so that the quotient is a perfect square! Also, find
the square root of the quotient.
8. By which number 7220 is to be divided so that the quotient is a perfect square! Also, find
the square root of the quotient.
9. By which number 3750 is to be divided so that the quotient is a perfect square? Also, find
the square root of the quotient.
10. What is the smallest perfect square which is exactly divisible by 8, 12 and 157
11. What is the smallest perfect square which is exactly divisible by 9, 12, 15 and 207
12. What is the smallest perfect square which is exactly divisible by 8,15 and 207
Finding Square Root by Division method
When we had to find the square root of very large number, we use a different method, known as
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4..So to make it a perfect square we need to multiply 175 and 7. Therefore 175 x 7 = 1225.
5..675= 3×3×3×5×5
6..2112.5 is the number.
7..To find the smallest number by which 9408 must be divided so that the quotient is a perfect square, we have to find the prime factors of 9408. Out of the prime factors of 9408, only 3 is without pair. So, 3 is the number by which 9408 must be divided to make the quotient a perfect square.
8..When we divide the 7220 by 8 then we will get the quotient as a perfect square.
9..Hence the required answer is 3×2=6.. On dividing 3750 by 6 we get 625 which is a perfect square.
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