Question

whats the radical form of 192????

Answer 1

Answer:

The radical form of $192$ is $8\sqrt{3}$.

Step-by-step explanation:

Given the number is $192$, we need to find its radical form.

We will do the factorization of $192$.

$192=2\times2\times2\times2\times2\times2\times3=2^6\times3\\192=(2^3)^2\times 3\\192=8^2\times3$

Taking square root both sides we get,

$\sqrt{192}=\sqrt{8^2\times 3}\\\sqrt{ab}=\sqrt{a}\times \sqrt{b}\\\sqrt{192}=\sqrt{8^2}\times \sqrt{3}\\\sqrt{192}=8\times\sqrt{3}\\\sqrt{192}=8\sqrt{3}$

So, the radical form of $192$ is $8\sqrt{3}$.