What should be added to 8400 to get perfect square make me understand in simpleway
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Answer:
64
Step-by-step explanation:
We know that,
90 * 90 = 8100
91 * 91 = 8281
92 * 92 = 8464
8400 is in between the squares of the numbers 91 and 92.
But 91 * 91 is less than 8400 and hence cannot be the closest number as we are being asked to add sum number to get a perfect square. (Note: Had the question been subtract some number to get a perfect square we could have gone with 91*91.)
so it should be closer to 92.
consider ,
(92 * 92) - 8400 = 8464 - 8400 = 64
Therefore, the least number is 64 which must be added to 8400 to get the perfect square.
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