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### High School Mathematics2.6 Problems on Square Roots - I

 Example: Find the least number, that should 20480 be multiplied or divided so that it becomes perfect square. Solution: Take the prime factors of the given number. 20480 = 2 * 10240 = 2 * 2 * 5120 = 2 * 2 * 2 * 2560 = 2 * 2 * 2 * 2 * 1280 = 2 * 2 * 2 * 2 * 2 * 640 = 2 * 2 * 2 * 2 * 2 * 2 * 320 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 160 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 80 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 40 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 20 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 10 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 5 In the product there are 12 twos and only one 5, to make the product into group of equal factors one more 5 is required. So the number 20480 is to be multiplied or divided by 5 to make it a perfect square. Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: With what least number should 1792 be multiplied or divided so that it becomes perfect square.5379 Q 2: With what least number should 1875 be multiplied or divided so that it becomes perfect square.5379 Question 3: This question is available to subscribers only! Question 4: This question is available to subscribers only!

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