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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
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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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? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 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? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 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? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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