Question

What is the square root of three times the square root of 27?

Answer 1

Hint: In the given question, firstly, we need to find the square root of the number 27 and then we are said that we need to multiply this resulting number by square root of 3 and then we need to find the square root of the number. Now, the value attained would be the final answer.

Complete step-by-step answer:
In the given question we are asked to find the square root of the number twice. Firstly, we need to find the square root of 27 which is $\sqrt{27}=\sqrt{3\times 3\times 3}=3\sqrt{3}$ .
Now, further we are asked to multiply the answer or we can say square root of 27 by square root of 3, so after multiplying by square root of 3 to the square root of 27 which is $3\sqrt{3}$is $\sqrt{3}\times 3\sqrt{3}$ .
Now, multiplying $\sqrt{3}\times \sqrt{3}$ we get 3 and multiplying by 3 we get 9.
Hence, the required answer to the given question is 9.

Note: In this question there are many chances of error as the statement is simple but is given such that we may sometimes forget to find the square root at one time and just leave the answer by doing three times to the square root of the number. Also, we need to see clearly in which sequence we need to multiply the number and find the square root.