Find the least number which must be added to 18,265 to obtain a perfect square.
Answers
Answer:
Complete step by step solution:
In this problem,
First, We have to find the square root of
18,26518,265
It can be written as
18265−−−−−√18265
The value of
18265−−−−−√=135.14818265=135.148
Let us take a number which is closer to this
135135
We can see that when we square the number 135135 ,
(135)2=18225(135)2=18225 .
So according to this number if we want to make the given number a perfect square we have to subtract the number, but in the question we have to add the number to make it a perfect square.
So now we will find the square of the next nearest number i.e.
136136 .
Upon squaring it gives us value
(136)2=18496(136)2=18496 .
Now we subtract both these numbers i.e.
18496−18265=23118496−18265=231 .
It means that if we add 231231 to 1826518265 , then it will be a perfect square.
Hence the required answer is 231231 .
So, the correct answer is “ 231231 ”.
Step-by-step explanation:
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Answer:
231
explanation:
√18,265=135
so, 136^2=18496
therefore, 18496-18265= 231