Question

Which radical expression is an irrational number? A. √ 121 B. √ 65 C. √ 36 D. √ 64

Answer 1

We will verify each options

option-A:

$\sqrt{121}$

we can factor it

$\sqrt{121}=\sqrt{11*11}$

$\sqrt{121}=\sqrt{11^2}$

$\sqrt{121}=11$

so, this is not irrational.........Answer

option-B:

$\sqrt{65}$

Since, it can not be factored

so, this is irrational.........................Answer

option-C:

$\sqrt{36}$

we can factor it

$\sqrt{36}=\sqrt{6*6}$

$\sqrt{36}=\sqrt{6^2}$

$\sqrt{36}=6$

so, this is not irrational.........Answer

option-D:

$\sqrt{64}$

we can factor it

$\sqrt{64}=\sqrt{8*8}$

$\sqrt{64}=\sqrt{8^2}$

$\sqrt{64}=8$

so, this is not irrational.........Answer

Answer 2

Answer:

to simplify what the other person said the answer is C

Step-by-step explanation: