You can Download Samacheer Kalvi 9th Maths Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 9th Maths Solutions Chapter 2 Real Numbers Ex 2.7

Question 1.
Rationalise the denominator
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 1
Solution:
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 2

Question 2.
Rationalise the denominator and simplify
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 3
Solution:
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 4
Multiply the numerator and denominator by the rationatising factor (\(\sqrt{27}\) + \(\sqrt{18}\))
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 5
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 6
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 7

Question 3.
Find the value of a and b if \(\frac{\sqrt{7}-2}{\sqrt{7}+2}=a \sqrt{7}+b\).
Solution:
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 8

Samacheer Kalvi 9th Maths Solutions Chapter 2 Real Numbers Ex 2.7

Question 4.
If x = \(\sqrt{5}\) + 2 , then find the value of \(x^{2}+\frac{1}{x^{2}}\) .
Solution:
If x = \(\sqrt{5}\) + 2
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 9

Question 5.
Given \(\sqrt{2}\) = 1.414, find the value of \(\frac{8-5 \sqrt{2}}{3-2 \sqrt{2}}\) (to 3 places of decimals).
Solution:
Samacheer Kalvi 9th Maths Chapter 2 Real Numbers Ex 2.7 10