Question

The number of digits in square root of 10000 is:
A. $1$
B. $2$
C. $3$
D. $4$

Answer 1

Hint: In the given problem we have to find the square root of the number. A square root of a number is the value that, when multiplied by itself gives a number. For example $2 \times 2 = 4$ it means the square root of $4$ is $2$, which implies $\sqrt 4 = 2$. Square root of a number is always a positive number.

Complete step-by-step answer:
Let consider the number is $x$
According to the given question
$x = 10000$
On taking the square root of 10000
We already know that the square root of any number is when multiplied by itself and give a number
By using this concept the value of root of $x$ is
\[
  \sqrt x = \sqrt {100000} \\
   \Rightarrow \sqrt x = \sqrt {100 \times 100} \\
   \Rightarrow x = 100 \\
 \]
Here the value of $x$ is $100$
So the answer of the problem is $100$ and counting the number of digits in the answer which is $100$ is $3$ .
Hence option C is the correct answer.

Note: By using the formula of square root we break $10000$ into $100 \times 100$ and according to the example given in the solution hint we get the answer $100$. So the value of. One thing we have to remember is that the square root of any number can never be negative, it's always a positive number.