Question

E.
Find the least number that should be added to the following numbers to get a perfect square
1. 26800
​

Answer 1

Answer:

Also find the square root of the perfect square so obtained. (i) 525Rough41 × 1 = 4142 × 2 = 8443 × 3 = 129Here, ... to each of the following numbers so as to get a perfect square.

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Answer 2

Answer:

R.E.F image

Q.Find the least number to be added to get

a perfect square 12675

Sol

n

First we find

12675

by division method

1

2

≤1<2

2

21×1=21

22×2=44>26

222×2=444

223×3=669>575

we get reminder 131 hence 12675 is not

a perfect square.

Thus (111)

2

<12675<(113)

2

We calculate (113)

2

−12675=12769−12675=94

Hence the least number to be added to get a perfect square is 94.

Since 12675+94=12769=(113)

2

solution