Question

How do you find the square root of the number \[27\]?

Answer 1

Hint: In this question, we need to define the outcome of the square root of \[27\]. An operation that, when applied to a number, returns the value that when multiplied by itself gets the number given. We take the square root of the value to be positive because there are no real numbers that when multiplied together give you a negative number.

Complete step-by-step solution:
In the given question,
By solving the square root of \[27\], we get
We perform an operation that, we use a other method is to simplify the square root of the given number and then use the approximations of the prime numbers square roots
The square of given number \[27\]can be expressed as the following, we can get
\[\sqrt {27} = \sqrt {9 \times 3} \],
\[\sqrt {27} = \sqrt {9} \times \sqrt {3} \],
By simplify it, we get
\[\sqrt {27} = 3\sqrt 3 \], Since,\[3 \times 3 = 9\] i.,e $ \sqrt {9} = 3$
Now, we get
\[\sqrt {27} = 3 \times 1.73 = 5.19\], where \[\sqrt 3 = 1.73\]
Since, the Square root of \[\sqrt {27} = 5.19\]

Therefore, the square root of \[\sqrt {27} \] is \[5.19\].

Note: It is important to note, we use another approach to simplify the square root first and then use the approximations of the prime numbers square roots (typically rounded to two decimal places). The number you are taking the square root of must be positive because there are no real numbers that when multiplied together give you a negative number.