I need help understanding square roots 3 √(256) and just √(256) can anyone tell me the step by step to do this

Question

I need help understanding square roots


`3 √(256)`
and just

`√(256)`
can anyone tell me the step by step to do this

Answer 1

I wonder if you mean to write
`\sqrt[3]{256}` in place of
`3√(256)`...

If you meant what you wrote, then we have

`√(256)=√(16^2)=16`

`3√(256)=3\cdot16=48`

If you meant to write
`\sqrt[3]{256}` (the cube root of 256), then we could go on to have

`\sqrt[3]{256}=\sqrt[3]{16^2}=\sqrt[3]{(4^2)^2}=\sqrt[3]{4^4}=\sqrt[3]{4^3\cdot4}=4\sqrt[3]4`