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MSBSHSE Solutions For Class 8 Maths Part 1 Chapter 3- Indices and Cube Root

MSBSHSE Solutions For Class 8 Maths Part 1 Chapter 3 Indices and Cube Root is one of the best reference material students can rely on. The MSBSHSE Solution for Class 8 module contains all the important topics that can help students score well in the examinations. Facilitators have provided the solutions accurately, depending upon the students grasping abilities to understand the concepts clearly. Every question is explained stepwise for a better understanding of the students.

The best reference guide for the students is the Maharashtra State Board Class 8 Textbooks Part 1 Maths Solutions. Students can analyse their weaker section and can improve on it by thoroughly going through the solutions, after completing every chapter. The PDF of Maharashtra Board Solutions for Class 8 Maths Chapter 3 Indices and Cube Root is provided here. Students can refer and download from the given links. This chapter is based on indices and cube root. Some of the essential topics of this chapter includes the meaning of numbers with rational indices, Cube and Cube root.

Download the PDF of Maharashtra Board Solutions For Class 8 Maths Part 1 Chapter 3- Indices and Cube Root.

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Access answers to Maharashtra Board Solutions For Class 8 Maths Part 1 Chapter 3- Indices and Cube Root.

Practice set 3.1 PAGE NO: 15

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

Solution:

In general, nth root of ‘a’ is expressed as a1/n. where, a is the base and 1/5 is the index.

So now,

(1) Fifth root of 13

Index form of fifth root of 13is expressed as 131/5.

(2) Sixth root of 9

Index form of sixth root of 9 is expressed as 91/6.

(3) Square root of 256

Index form of square root of 256 is expressed as 2561/2.

(4) Cube root of 17

Index form of cube root of 17 is expressed as 171/3.

(5) Eighth root of 100

Index form of eighth root of 100 is expressed as 1001/8.

(6) Seventh root of 30

Index form of seventh root of 30 is expressed as 301/7.

2. Write in the form ‘nth root of a’ in each of the following numbers.

Maharashtra Board Solutions for Class 8 Maths Chapter 3 - image 1

Solution:

In general, a1/n is written as ‘nth root of a’.

So now,

(1) (81)1/4

(81)1/4 is written as ‘4th root of 81’.

(2) (49)1/2

(49)1/2 is written as ‘square root of 49’.

(3) (15)1/5

(15)1/5 is written as ‘5th root of 15’.

(4) (512)1/9

(512)1/9 is written as ‘9th root of 512’.

(5) (100)1/19

(100)1/19 is written as ‘19th root of 100’.

(6) (6)1/7

(6)1/7 is written as ‘7th root of 6’.

Practice set 3.2 PAGE NO: 16

1. Complete the following table

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