The number obtained on rationalizing the denominator of 1/√7-2 is
(a)√7+2/3
(b) √7-2/3
(c) √7+2/5
(d) √7+2/45
Solution:
1/√7-2 = 1/√7-2 ×√7+2/√7+2
= √7+2/(√7)2-22
= √7+2/7-4
= √7+2/3
option is correct (a) √7+2/3
More Solutions:
- Express the following numbers in the form p/q.
- Classify the following numbers as rational or irrational:
- what can you say about the prime factors of q?
- Insert an irrational number between the following.
- Insert two irrational numbers between 2 and 3.
- Find one rational number between √2 and √3.
- Insert irrational numbers between √5 and √7.
- Simplify the following: (i) √45 – 3√20 + 4√5
- Simplify the following: (i) (5 + √7) (2 + √5).