Question

is the square root of 36/16 rational?​

Answer 1

Hello from MrBillDoesMath!

Answer:

Yes

Discussion:

36 = 6*6 and 16 = 4*4. so

sqrt(36/16) = 6/4 = 3/2   which is a rational number.

Thank you,

MrB

Answer 2

The square root of 36/16 is a rational number.

What is a rational number?

Any number that can be written as a ratio (or fraction) of two integers is called a rational number.

What is fraction?

A number expressed as a quotient, in which a numerator is divided by a denominator is called fraction.

According to the given question

We have a fraction $\frac{36}{16}$

Let $A^{2} = \frac{36}{16}$

Therefore, the square root of A is given by

$\sqrt{A^{2} } = \sqrt{\frac{36}{16} }$

⇒ $A = \sqrt{\frac{(6)(6)}{(4)(4)} }$

⇒$A = \frac{6}{4}$

Since, A can be written as 6/4 (as a fraction) therefore, the square root of  36/16 is a rational number.

Learn more about rational number here:

https://brainly.com/question/17450097

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