Question

How do you solve `\sqrt { 184} ^ { 4}`?

Answer 1

`33856`

Explanation:

`\sqrt{184}=2\sqrt{46}` Let's make this `a` since you are actually asked to solve for `(\sqrt{184})^4`. So `\color(teal)(a=2\sqrt{46})`

`(\sqrt{184})^4=\color(teal)(a)^4=(\color(teal)(2\sqrt{46}))^4`
`=(2)^4(\sqrt{46})^4=16(46)^2=16(2116)=33856`