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Find each of the following numbers find the smallest whole numbers by which it should be multiplied so as to get a perfect square also find the square root of the following numbers so obtained (1) 252?
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Find each of the following numbers find the smallest whole numbers by ...


Smallest Whole Number to Make a Perfect Square
• To find the smallest whole number by which 252 should be multiplied to get a perfect square, we need to break down 252 into its prime factors.
• Prime factorization of 252: 2 x 2 x 3 x 3 x 7 = 2^2 x 3^2 x 7
• To make it a perfect square, we need to pair up the prime factors.
• The smallest whole number by which 252 should be multiplied to get a perfect square is 2 x 3 x 7 = 42.

Square Root of the Perfect Square
• Now that we have found the smallest whole number (42) to make 252 a perfect square, we can find the square root of the perfect square.
• The square root of 252 x 42 = 10584.
• So, the square root of 10584 is 102.
Community Answer
Find each of the following numbers find the smallest whole numbers by ...
By prime factorisation method
252= 2*2*3*3*7
it is clear that in order to get a perfect square one more 7 is required
so the given number should be multiplied by 7 to get a perfect square .
252= 2*2*3*3*7
252*7=2*3*7*7
252*7=2*3*7
1764=42
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Find each of the following numbers find the smallest whole numbers by which it should be multiplied so as to get a perfect square also find the square root of the following numbers so obtained (1) 252?
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