Question

Question 6 of 10Which choice is equivalent to the product below?316mla19

Answer 1

Given:

There are given the expression:

`\sqrt{(3)/(16)}\cdot\sqrt{(3)/(9)}`

Step-by-step explanation:

According to the question:

We need to find the product of the given expression.

So,

To find the value, we need to apply the radical rules to the given expression:

So,

From the radical rule:

`√(a)√(b)=√(ab)`

Then,

`\sqrt{(3)/(16)}\cdot\sqrt{(3)/(9)}=\sqrt{(3)/(16)\cdot(3)/(9)}`

Then,

`\sqrt{(3)/(16)\cdot(3)/(9)}=\sqrt{(1)/(16)}`

Then,

`\sqrt{(1)/(16)}=(1)/(4)`

Final answer:

Hence, the value of the expression is shown below;

`(1)/(4)`