Question

∛3375-
`\sqrt[4]{38416}`=?

Answer 1

1

Explanation:

`\sqrt[3]{3375} - \sqrt[4]{38416}`

Calculate the cube root

`\sqrt[3]{ {15}^(3) } - \sqrt[4]{38416}`

Calculate the root

`\sqrt[3]{ {15}^(3) } - \sqrt[4]{ {14}^(4) }`

`{15}^{ (3)/(3) } - {14}^{ (4)/(4) }`

`15 - 14`

Subtract the numbers

`1`

Hope this helps...

Answer 2

1

Explanation:

=>
`\sqrt[3]{3375} - \sqrt[4]{38416}`

Factorizing 3375 gives 15 * 15 * 15 which equals 15^3 and factorizing 38416 gives 14 * 14 * 14 * 14 which equals 14^4

=>
`\sqrt[3]{15^3} - \sqrt[4]{14^4}`

=> 15 - 14

=> 1