Question

What will be the unit digit of the square of 26387.

Answer 1

Hint:
Here we will use the concept of the square of a number to find the unit digit of the square of the given number. It is equal to the square of the unit digit of that number. So, then we will find the square of the unit digit of the number 26387.

Complete step by step solution:
We know that the unit digit of the square of a number is equal to the square of the unit digit of that number.
Here, the unit digit of the number is 7.
Now we will find the square of the number 7. So, we get
\[ \Rightarrow {7^2} = 7 \times 7 = 49\]
The unit digit of the square of number 7 is 9.
Therefore, the unit digit of the square of 26387 is also 9.

Hence, 9 is the unit digit of the square of 26387.

Note:
We know that a perfect square or square number is an integer that is the square of an integer or we can say that it is the product of some integer with itself. A perfect cube or cube number is an integer that is the cube of an integer or we can say that it is the product of some integer with itself three times.
Square is expressed as \[{\left( {number} \right)^2}\]
Cube is expressed as \[{\left( {number} \right)^3}\]
Also we should know that the cube root of a number is the factor that we multiply by itself three times to get that number. We might get confused between the cube root and the square root. Square root of a number is the factor that we multiply by itself two times to get that number.
Square root is expressed as \[\sqrt[2]{{{\rm{number}}}}\]
Cube root is expressed as \[\sqrt[3]{{{\rm{number}}}}\]