Question

ii) 5^1/9 and 3^2/3 Write into radical

Answer 1

Answer:

When using indicies,

x

1

2

=

√

x

.

I think the easiest way to solve this is probably to split it up using our Index Laws:

a

n

+

a

m

=

a

n

+

m

Hence:

3

3

2

=

3

1

×

3

1

2

And this is obviously the same as:

3

×

√

3

=

3

√

3

Then if you want it entirely as a radical, you must "insert" the 3 under the radical sign which is done by taking the square of the number in front of the radical (as this is the inverse operation of taking the square root of something), and placing it under the root sign:

3

√

3

=

√

9

×

3

=

√

27

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