Question

Compare 4 root 8 and 6 root 22compare

Answer 1

Answer:

Step-by-step explanation:

4√8= √16*8=√128

6√22= √36*22= √392*2=√784

√784>√128

Answer 2

Answer:

Step-by-step explanation:

compare $\sqrt[4]{8}$ and $\sqrt[6]{22}$

L.C.M of 4 & 6 = 12

$\sqrt[4]{8} = \sqrt[4*3]{8^{3} }$      =   $\sqrt[12]{8*8*8} = \sqrt[12]{512}$

$\sqrt[6]{22} = \sqrt[6*2]{(22)^{2} }$   = $\sqrt[12]{22*22} = \sqrt[12]{484}$

so,

$\sqrt[12]{512} > \sqrt[12]{484}$

$\sqrt[4]{8} > \sqrt[6]{22}$