Question

What is $2$ times the square root of $3?$

Answer 1

Hint: We will write the Mathematical counterparts of each of the words given in the statement. We know that the word times implies the multiplication. The phrase ‘square root of a number’ is expressed as the number under the radical sign.

Complete step by step solution:
Let us consider the given statement $'2$ times the square root of $3'.$
We need to find the operation in the given statement.
Let us consider the word ‘times’ in the statement. This word stands for the operation takes place.
We know that a number times another number implies their product.
So, $a$ times $b$ implies the product of $a$ and $b.$ That is, $ab.$
From this, we can learn that the given statement includes the operation multiplication.
So, we can understand what we discussing is $2 \times $ the square root of $3.$
We know that the square root of a number can be expressed as the number inside the radical sign. We usually express the square root of a number $a$ as $\sqrt{a}.$
Therefore, we can write the square root of $3$ as $\sqrt{3}.$
So, the given statement will become $2\times \sqrt{3}.$
We know that we can ignore the symbol while writing if the operation is multiplication.
So, the statement can be written as $2\sqrt{3}.$
Hence $2$ times the square root of $3$ is $2\sqrt{3}.$

Note: When we multiply a number to itself, we get the square of that number. So, the square root of a number is a number which gives the former when multiplied to itself. That is, if $a\times a={{a}^{2}},$ then ${{a}^{2}}$ is called the square of $a$ and $a$ is called the square root of ${{a}^{2}}.$ We know that $2\sqrt{3}$ can also be written as $\sqrt{{{2}^{2}}\cdot 3}=\sqrt{4\cdot 3}=\sqrt{12}.$ Also, since $\sqrt{3}=1.732,$ we can write it as $2\sqrt{3}=2\times 1.732=3.464.$