Question

For each of the following find the smallest number by which it should be multiplied so as to
get a perfect square. Also find the square root of the square number so obtained
a)147
b)1008
c)2028​

Answer 1

Answer:

$\begin{gathered}\huge \underline\blue {Question:-} \\\end{gathered}</p><p>$

For each of the following find the smallest number by which it should be multiplied so as to

get a perfect square. Also find the square root of the square number so obtained

a)147

b)1008

c)2028

$\begin{gathered}\huge \underline\red{solution:-} \\\end{gathered}$

a)If we multiplied 147 with 3

that means 147x3-D441

the perfect square for 441 is 21.

so, there fore the answer is 21.

therfore the smallest number=3

perfect square=441

square root=21

b)1008 = 2 x 2 x 2 x 2 x 3 x 3 x 7

Here, 2 and 3 are in pair, but 7 needs a pair to make 1008 a perfect square.

Thus, 1008 needs to be multiplied by 7 to become a perfect square

Hence, Answer = 7

square no.=1008x7=7056

c)2028 = 2 x 2 x 3 x 13 x 13

Here, 2 and 13 are in pair, but 3 needs a pair to make 2028 a perfect square.

Thus, 2028 needs to be multiplied by 3 to become a perfect square.

Hence, Answer = 3

square no.=2028x3=6084

square root of 6084=78

Hope this helps u out ✌✌ .