what number should 14700 be divided to get a perfect square? also find the square root of the perfect square obtained.
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• 14700 should be divided by 3
• Required square root is 70
Step-by-step explanation:
The given number is 14700
Now we prime factorize the number.
14700 = 147 × 100
= 7 × 21 × 10 × 10
= 7 × 7 × 3 × 5 × 2 × 5 × 2
= 2 × 2 × 3 × 5 × 5 × 7 × 7
We see that each of 2, 5 and 7 appears twice in the factorization. But 3 appears only once, for which the number 14700 is not a perfect square.
∴ we divide 14700 by 3 to get a perfect square.
∴ the perfect square number is
= 14700 ÷ 3
= 4900
= 70², and thus the required square root is 70.
Related question here:
Find the smallest number by which 200 should be multiplied to make it a perfect cube. - https://brainly.in/question/14849810
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