find the least number to be subtracted from 291 to make it a perfect square
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find the least number to be subtracted from 291 to make it a perfect square
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2 is the least number to be subtracted from 291 to make it a perfect square
Given :
The number 291
To find :
The least number to be subtracted from 291 to make it a perfect square
Solution :
Step 1 of 2 :
Find square root of the number
Here the given number is 291
We square root the given number as below
[tex]\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{}}}&{\underline{\sf{\:\:17\:\:}}}\\ {\underline{\sf{1}}}& {\sf{291}} \\{\sf{}}& \underline{\sf{1 \: \: \: \: }} \\ {\underline{\sf{27}}}&{\sf{\:191 }} \\{\sf{}}& \underline{\sf{ \: 189 }} \\ {\underline{\sf{}}}& {\sf{ \: \: \: \: \: 2}} {\sf{}}&{\sf{\:\:\:\:}}\end{array}\end{gathered} \\ \\[/tex]
Step 2 of 2 :
Find the least number to be subtracted
On finding square root of 291 we get 17 as quotient and 2 as remainder
∴ In order to make 291 a perfect square, we have to subtract 2 from 291
∴ Hence the least number to be subtracted from 291 to make it a perfect square = 2
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