Question

find the smallest natural number of 1872 by which it should be divided so that the quotient is a perfect Square . Also find the square root of the square number so obtained.​

Answer 1

Answer:

(i) 1872 = 2 × 2 × 2 × 2 × 3 × 3 × 13

It can be written as shown in the image

By pairing the same kind of factors, one factor 13 is left unpaired

Required least number = 13

The number 1872 should be divided by 13 so that the resultant number will be a perfect square

Resultant number = 1872 ÷ 13 = 144

Square root = 2 × 2 × 3 = 12

Step-by-step explanation:

Hope it helps you

Answer 2

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When we subtracted 23 from 1872 we get a perfect square .

It's easily solve by long division method .

$\underline{\underline{\mathcal{\red{ \bf{1849 \: is \: perfect\: sq \: of \: 43}}}}}$