Question

Is the square root of 4/16 rational

Answer 1

Yes

Explanation:

To find this, we need to know what number multiplied by itself will give us 4/16, also written as 1/4.

When multiplying fractions, you multiply the top together and the bottom together. Making a function with this rule, we get (1/4)=(1/x^2) With this in mind, we can just figure out what the denominator would need to be as the top is 1 on both sides. So now all we're solving for is x^2=4. Taking the square root of both sides, we get x=2.

Thus, (1/2)^2 is 1/4 or 4/16, and proves that the square root of 4/16 is in fact rational.

Answer 2

The answer is yes it is rational

The sqrt of 4/16 can be reduced to the sqrt of 1/4, which is equal to 1/2 or 0.5.

Hope this helped