Question

The radical form of ³√5⁴ is ---------------

Answer 1

Step-by-step explanation:

³√2 × √5

These are unlike surds

( means one is cubic root and other is square root)

So we need to make their order the same

LCM of their orders 2 , 3 = 6

We will convert them of sixth order surds

³√2 = ⁶√2² = ⁶√4

√5 = ⁶√5³ = ⁶√125

Now we can multiply these

³√2 × √5 = ⁶√4 × ⁶√125 = ⁶√500

³√2 × √5= ⁶√500