Question

which one of the number 64, √64, ³√64 4√64 is a surd?

Answer 1

NumberSimplifiedAs a DecimalSurd or
not?√2√21.4142135...(etc)Surd√3√31.7320508...(etc)Surd√422Not a surd√¼½0.5Not a surd3√113√112.2239800...(etc)Surd3√2733Not a surd5√35√31.2457309...(etc)Surd

Answer 2

Answer:

4√64

Step-by-step explanation:

Surd numbers are the numbers which consists a '√' sign and if that is removed the exact value can't be find.

Like √2 is a surd number having a value 1.414213... (not exact).

In the other hand, √4 = 2 (exact value) thus, √4 is not a surd.

Here, 64 itself doesn't have a '√' thus it's not a surd.

√64 = 8 which is exact value, and thus √64 is not a surd.

∛64 = 4 which is also an exact value- ∛64 is not a surd number.

4√64 or 64^(1/4) = 2.8284... which is not a definite exact value which proves further that 4√64 is a surd.