Question

The monomial 36x4 is a perfect square. What is the square root of 36x4

Answer 1

Well 36x4=144

So you have do this equation

36x4=144√=12
 

So the square root of 144 or 36x4 is 12

Answer 2

Answer:

The square root of $36x^4$ is $6x^2$.

Step-by-step explanation:

To find the square root of $36x^4$ you must apply the radical rule $\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0$

$\sqrt{36x^4}=\sqrt{36}\sqrt{x^4}$

$\sqrt{36x^4}=\sqrt{6^2}\sqrt{x^4}\\\\\sqrt{36x^4}=6\sqrt{x^4}\\\\\sqrt{36x^4}=6\sqrt{\left(x^2\right)^2}$

Next, apply the radical rule $\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$\sqrt{36x^4}=6\sqrt{\left(x^2\right)^2}\\\\\sqrt{36x^4}=6x^2$