Question

1. Express the following numbers in index form.

(1) Fifth root of 13 (2) Sixth root of 9 (3) Square root of 256

(4) Cube root of 17 (5) Eighth root of 100 (6) Seventh root of 30​

Answer 1

$\text{(1) Fifth root of 13} = 13^{^{\frac{1}{5}} }\\ \\ \text{(2)Sixth root of 9} = 9^{^{\frac{1}{6}} }\\ \\ \text{(3) Square root of 256} = 256^{^{\frac{1}{2}} }\\ \\ \text{(4) Cube root of 17} = 17^{^{\frac{1}{3}} }\\ \\ \text{(5) Eighth root of 100} = 100^{^{\frac{1}{8}} }\\ \\ \text{(6) Seventh root of 30} = 30^{^{\frac{1}{7}}}$

Answer 2

Question:

Express the following numbers in index form.

(1) Fifth root of 13

(2) Sixth root of 9

(3) Square root of 256

(4) Cube root of 17

(5) Eighth root of 100

(6) Seventh root of 30

Answer :

1) Fifth root of 13

$= 13 \frac{1}{5}$

2) Sixth root of 9.

$= 9 \frac{1}{6}$

3) Square root of 256.

$256 \frac{1}{2}$

4) Cube root of 17

$17 \frac{1}{3}$

5) Eighth root of 100.

$100 \frac{1}{8}$

6) Seventh root of 30

$30 \frac{1}{7}$

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Extra Information :

In this types of questions any question would come how we have to express it.

Let me explain you.

With an example let me Explain u

If an example is : Nineteenth root of 20

So , to Express "Nineteenth root of 20"

We have to First Take Number 20 then 1 because whenever we express any number with any number we have to write given number then fraction

For expressing number and Fraction

First we should write the number which is given.

Like here it is given 20 Then we will write fraction first we will write 1 then the number which is given in spelling .

$= >20 \frac{1}{19}$

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If there will be questions where we have to express them in square root or cube root then let me explain you how to express it .

Square root example :

If it is given question:

Square root of 20.

First we will write the given number 20 then as it is we will take 1 / 2

2 is taken because question is we have to express our Fraction in square root.

$= 20 \frac{1}{2}$

Cube root example :

If it is given question :

Cube root of 20.

First we will write the given number 20 then as it is we will take 1/3

here, 3 is taken because we have to express our Fraction in cube root.

$= > 20\frac{1}{3}$

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