find out the perfect square root of 28224 by prime facrization with full solution
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Answered by
17
Answer:
first draw a column of prime factorization ( I am not drawing cause straigth lines are not here.)
make two columns in the left hand side you will write the divisor. And in the rigth hand side you will write quotient.
therefore,
2 ÷ 28224
2 ÷ 14112
2 ÷ 7056
2 ÷ 3528
2 ÷ 1764
2 ÷ 832
2 ÷ 416
2 ÷ 28
2 ÷ 14
2 ÷ 7
7 ÷ 7
1
therefore
28224 = 2×2×2×2×2×2×2×2×2×2×7
= (2×2×2×2×2×7) (2×2×2×2×2×?)
Therefore, 28224 is not a perfect cube because 7 number is not there.
Hope this would help you
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