# HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board

## BSEB Class 9 Maths Chapter 1 Number Systems Ex 1.5 Textbook Solutions PDF: Download Bihar Board STD 9th Maths Chapter 1 Number Systems Ex 1.5 Book Answers BSEB Class 9 Maths Chapter 1 Number Systems Ex 1.5 Textbook Solutions PDF: Download Bihar Board STD 9th Maths Chapter 1 Number Systems Ex 1.5 Book Answers

BSEB Class 9th Maths Chapter 1 Number Systems Ex 1.5 Textbooks Solutions and answers for students are now available in pdf format. Bihar Board Class 9th Maths Chapter 1 Number Systems Ex 1.5 Book answers and solutions are one of the most important study materials for any student. The Bihar Board Class 9th Maths Chapter 1 Number Systems Ex 1.5 books are published by the Bihar Board Publishers. These Bihar Board Class 9th Maths Chapter 1 Number Systems Ex 1.5 textbooks are prepared by a group of expert faculty members. Students can download these BSEB STD 9th Maths Chapter 1 Number Systems Ex 1.5 book solutions pdf online from this page.

## Bihar Board Class 9th Maths Chapter 1 Number Systems Ex 1.5 Books Solutions

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## BSEB Class 9th Maths Chapter 1 Number Systems Ex 1.5 Textbooks Solutions with Answer PDF Download

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## BSEB Bihar Board Class 9th Maths Solutions Chapter 1 Number Systems Ex 1.5

Question 1.
Classify the following numbers as rational or irrational :
(i) 2 – 5‾√
(ii) (3 + 23‾‾‾√) – 23‾‾‾√
(iii) 27√77√
(iv) 12√
(v) 2π
Solution:
(i) 2 – 5‾√ is an irrational number being a difference between a rational and an irrational.
(ii) (3 + 23‾‾‾√) – 23‾‾‾√ = 3 + 23‾‾‾√ – 23‾‾‾√ = 3, which is a rational number.
(iii) 27√77√ = 27, which is a rational number.
(iv) 12√ is irrational being the quotient of a rational and an irrational.
(v) 2π is irrational being the product of rational and irrational.

Question 2.
Simplify each of the following expressions :
(i) (3 + 3‾√)(2 +2‾√)
(ii) (3 + 3‾√(3 – 3‾√)
(iii) (5‾√ + 2‾√)²
(iv) (5‾√ – 2‾√)(5‾√ + 2‾√)
Solution: Question 3.
Recall, it is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is π = 𝑐𝑑. This seems to contradict the fact that n is a irrational. How will you resolve this contradiction?
Solution:
There is no contradiction as either c or d irrational and hence π is an irrational number.

Question 4.
Represent 9.3‾‾‾√ on the number line.
Solution:
Mark the distance 9.3 units from a fixed point A on a given line to obtain a point B such that AB = 9.3 units. From B, mark a distance of 1 unit and mark the new point as C. Find the mid-point of AC and mark that point as O. Draw a semi-circle with centre O and radius OC. Draw a line perpendicular to AC passing through B and intersecting the semi circle at D. Then BD = 9.3‾‾‾√ . To represent 9.3‾‾‾√ On the number line. Let us treat the line BC as the number line, with B as zero, C as 1, and so on. Draw an arc with centre B and radius BD, which intersects the number line in E. Then, E represent 9.3‾‾‾√.

Question 5.
Rationalise the denominators of the following :
(i) 17√
(ii) 17√−6√
(iii) 15√+2√
(iv) 17√−2
Solution: ## Bihar Board Class 9th Maths Chapter 1 Number Systems Ex 1.5 Textbooks for Exam Preparations

Bihar Board Class 9th Maths Chapter 1 Number Systems Ex 1.5 Textbook Solutions can be of great help in your Bihar Board Class 9th Maths Chapter 1 Number Systems Ex 1.5 exam preparation. The BSEB STD 9th Maths Chapter 1 Number Systems Ex 1.5 Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 9th Maths Chapter 1 Number Systems Ex 1.5 Books State Board syllabus with maximum efficiency.

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