Question

the square root of the product.
the square root of the product.
By which number 1568 is to be multiplied so that the product is a perfect square? Also, find
the square root of the product.
By which number 8450 is to be divided so that the quotient is a perfect square? Also, find
the square root of the quotient.
By which number 7220 is to be divided so that the quotient is a perfect square? Also, find
the square root of the quotient.
By which number 3750 is to be divided so that the quotient is a perfect square? Also, find
the square root of the quotient.
9. What is the smallest perfect square which is exactly divisible by 8, 12 and 15?
1. What is the smallest perfect square which is exactly divisible by 9, 12, 15 and 20?
What is the smallest perfect square which is exactly divisible by 8, 15 and 20?
By which number 175 is to be multiplied so that the product is a perfect square? Also, find
By which number 675 is to be multiplied so that the product is a perfect square? Also, find​

Answer 1

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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