Mathematics
Grade-8
Easy
Question
In between what two integers is the square root of 77?
- 5 and 6
- 6 and 7
- 7 and 8
- 8 and 9
Hint:
A number multiplied by itself is the square root of that number. It is basically the value of a number having a power of 1/2 is the number's square root.
Example: 
But not all numbers have their square root as the positive integer. There are some numbers that have a square root in decimal. Here we have to find the numbers which are consecutive in which the square root of 77 comes.
The correct answer is: 8 and 9
So now we know that the number multiplied by itself is the square root of that number. We have to find the numbers which are consecutive in which the square root of 77 comes.
So, first we should find the perfect square number near 74.
As per the perfect squares, we have:
and 
This means 64 and 81are the perfect square which is near to 77.
Now, square root of these numbers will be:
So the square root of 64 and 81 are 8 and 9 respectively.
Hence, the square root of 77 lies in between 8 and 9 which will be a decimal number.
So in this question we the number 77 was given for which we have to find out in between which numbers its square root is present. So after using the square roots of two numbers we found out that the square root of 77 lies in between 8 and 9 which will be decimal number and not the whole number.
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