#### Chapters

Chapter 2: Parallel lines and transversals

Chapter 3: Indices and Cube root

Chapter 4: Altitudes and Medians of a triangle

Chapter 5: Expansion formulae

Chapter 6: Factorisation of Algebraic expressions

Chapter 7: Variation

Chapter 8: Quadrilateral : Constructions and Types

Chapter 9: Discount and Commission

Chapter 10: Division of Polynomials

Chapter 11: Statistics

Chapter 12: Equations in one variable

Chapter 13: Congruence of triangles

Chapter 14: Compound interest

Chapter 15: Area

Chapter 16: Surface area and Volume

Chapter 17: Circle : Chord and Arc

## Chapter 3: Indices and Cube root

#### Practice Set 3.1 [Page 15]

### Balbharati solutions for Maharashtra state board (SSC) Class 8 Mathematics Chapter 3 Indices and Cube root Practice Set 3.1 [Page 15]

Express the following number in index form.

Fifth root of 13

Express the following number in index form.

Sixth root of 9

Express the following number in index form.

Square root of 256

Express the following number in index form.

Cube root of 17

Express the following number in index form.

Eighth root of 100

Express the following number in index form.

Seventh root of 30

Write in the form 'n^{th} root of a' in the following number.

(81)^{1/4}

Write in the form 'n^{th} root of a' in the following number.

`49^(1/2)`

Write in the form 'n^{th} root of a' in the following number.

`(15)^(1/5)`

Write in the form 'n^{th} root of a' in the following number.

`(512)^(1/9)`

Write in the form 'n^{th} root of a' in the following number.

`100^(1/19)`

Write in the form 'n^{th} root of a' in the following number.

`(6)^(1/7)`

#### Practice Set 3.2 [Page 16]

### Balbharati solutions for Maharashtra state board (SSC) Class 8 Mathematics Chapter 3 Indices and Cube root Practice Set 3.2 [Page 16]

Complete the following table.

Sr. No. | Number | Power of the root | Root of the power |

(1) | (225)^{3/2} |
Cube of square root of 225 | Square root of cube of 225 |

(2) | (45)^{4/5} |
||

(3) | (81)^{6/7} |
||

(4) | (100)^{4/10} |
||

(5) | (21)^{3/7} |

Write the following number in the form of rational indices.

Square root of 5th power of 121

Write the following number in the form of rational indices.

Cube of 4th root of 324

Write the following number in the form of rational indices.

5th root of square of 264

Write the following number in the form of rational indices.

Cube of cube root of 3

#### Practice Set 3.3 [Page 18]

### Balbharati solutions for Maharashtra state board (SSC) Class 8 Mathematics Chapter 3 Indices and Cube root Practice Set 3.3 [Page 18]

Simplify:

`root(3)(27/125)`

Simplify:

`root(3)(16/54)`

If `root(3)(729)` = 9 then `root(3)(0.000729) = ?`

Find the cube root of the following number.

8000

Find the cube root of the following number.

729

Find the cube root of the following number.

343

Find the cube root of the following number.

-512

Find the cube root of the following number.

-2744

Find the cube root of the following number.

32768

## Chapter 3: Indices and Cube root

## Balbharati solutions for Maharashtra state board (SSC) Class 8 Mathematics chapter 3 - Indices and Cube root

Balbharati solutions for Maharashtra state board (SSC) Class 8 Mathematics chapter 3 (Indices and Cube root) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board Maharashtra state board (SSC) Class 8 Mathematics solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Maharashtra state board (SSC) Class 8 Mathematics chapter 3 Indices and Cube root are Indices and Cube Root, Meaning of Numbers with Rational Indices, Cube and Cube Root.

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