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### Grade 7 - Mathematics1.21 Word Problems On Square Roots - I

 A number whose square root is a rational number is called a perfect square number. Procedure: Example: Find the least positive whole number with which 125 should be multiplied so that the product is a perfect square, and also find the square root of that product. Solution: Write 125 as product of prime factors. 125 = 5*25 =5*5*5 =(5*5)*5 Therefore, the given number should be multiplied by 5 to make it a perfect square number. The required positive integer is 5. The product so obtained = 125*5 =5*5*5*5 = (5*5)2 The square root of 125*5 is 5*5 Ö625 = 25. Direction: Solve the following problems. Write 5 examples of your own.
 Q 1: Find the least positive whole number with which 1568 should be multiplied so that the product is a perfect square.Answer: Q 2: Find the least positive whole number with which 405 should be multiplied so that the product is a perfect square.Answer: Q 3: Find the least positive whole number with which 288 should be multiplied so that the product is a perfect square, find the square root of that product.Answer: Q 4: Find the least positive whole number with which 605 should be multiplied so that the product is a perfect square, find the square root of that product.Answer: Q 5: Find the least positive whole number with which 1152 should be multiplied so that the product is a perfect square.Answer: Q 6: Find the least positive whole number with which 4050 should be multiplied so that the product is a perfect square, find the square root of that product.Answer: Q 7: Find the least positive whole number with which 243 should be multiplied so that the product is a perfect square.Answer: Q 8: Find the least positive whole number with which 1458 should be multiplied so that the product is a perfect square, find the square root of that product.Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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