Question

which one is Greater cube root 3 or 4 under root 4 ​

Answer 1

Answer:-

3^3 and 4^4

We Need to Taking L.C.M of 3 and 4 (12)

Now,

$\begin{lgathered}\sqrt[12]{ {3}^{4} } = \sqrt[12]{81} \\ \\ \sqrt[12]{ {4}^{3} } = \sqrt[12]{64}\end{lgathered}$

Therefore, 81 and 64

3√3 is greater.

Answer 2

Hi there !!

$\sqrt[3]{3} \: and \: \sqrt[4]{4}$

Taking L.C.M of orders 3 and 4 i.e 12

Now,

$\sqrt[12]{ {3}^{4} } = \sqrt[12]{81} \\ \\ \sqrt[12]{ {4}^{3} } = \sqrt[12]{64}$

So,we will consider that 81 and 64 i.e

3√3 is greater.

Thankyou :)