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# For the Following, Find the Least Number that Must Be Added So that the Resulting Number is a Perfect Square 55078. - Mathematics

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For the following, find the least number that must be added so that the resulting number is a perfect square 55078.

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#### Solution

55078

 234 2 550784 43 150129 464 21781856 322

Taking square root of 55078, we find that 322 has been left
We see that 55078 is greater than (234)2
On adding the required number to 55078, we get (235)2 i.e., 55225
Required number = 55225 – 55078 = 147

Concept: To Find the Square Root of a Number Which is Not a Perfect Square (Using Division Method)
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 3 Squares and Square Root
Exercise 3 (B) | Q 6.3 | Page 42
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