Question

√6 x √27 is equal to ___________

a. 9√2 b. 3√3 c. 2√2 d. 9√3​

Answer 1

Answer:

a.....................

Answer 2

Answer:

The correct answer is option a. $9\sqrt{2}$.

The required answer is $\sqrt{6} * \sqrt{27} = 9\sqrt{2}$.

Explanation:

Concept:

We multiply the numbers inside the radical to multiply square roots. Any numbers not in the radical are multiplied as well.

Given:

The expression $\sqrt{6} * \sqrt{27}$

To find :

We have to simplify the given expression.

Solution:

The given expression is,

$=\sqrt{6} * \sqrt{27} \\=\sqrt{6*27}\\ =\sqrt{2*3*3*3*3}$

Now, we can write the common factors in square form as shown below:

$=\sqrt{2*3^{2}*3^{2}}\\ =(3*3)\sqrt{2} \\=9\sqrt{2}$

Thus, $\sqrt{6} * \sqrt{27}$ is equals to $9\sqrt{2}$.

#SPJ2