Multiply: ³√7 and √ 5
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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
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