Find the smallest number by which 700 must be multiplied to make it a perfect square?
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Answered by
6
Prime Factorisation Of..
700=2×2×5×5×7
Here 7 is not in a Pair.
But 2 and 5 are in Pair.
So 700 multiplied By Seven Will Make it A Perfect square [1400 =70²]
So 7 is the smallest No: by which 700 must be multipled so as to obtain a Perfect Square...
Hope it Helps...
Regards,
Leukonov
700=2×2×5×5×7
Here 7 is not in a Pair.
But 2 and 5 are in Pair.
So 700 multiplied By Seven Will Make it A Perfect square [1400 =70²]
So 7 is the smallest No: by which 700 must be multipled so as to obtain a Perfect Square...
Hope it Helps...
Regards,
Leukonov
Leukonov:
Thanks For the Brainly Quote... Highly Appreciate it.
Answered by
8
Let the smallest number be k
Find the prime factors of 700:
700 = 2² x 5² x 7
For a number to be perfect square, the exponents must be even:
700 = 2² x 5² x 7
700k = 2² x 5² x 7²
∴ k = 7
Answer: the smallest number to make 700 a perfect square is 7.
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