Operations on Rational and Irrational Numbers
Using appropriate properties find:
Give an example of each, of two irrational numbers whose:
(i) difference is a rational number.
(ii) difference is an irrational number.
(iii) sum is a rational number.
(iv) sum is an irrational number.
(v) product is a rational number.
(vi) product is an irrational number.
(vii) quotient is a rational number.
(viii) quotient is an irrational number.
How do you simplify ?
What are three irrational numbers between and ?
Prove √6 as an irrational number
Evaluate 15√+√+√−√−√, it us given that √=2.236 and √=3.162
The value of 0.¯¯¯¯¯¯23 + 0.¯¯¯¯¯¯22 is
If √=1.414 then √=?
(a) 0.207 (b) 2.414 (c) 0.414 (d) 0.621
All non-terminating and non-recurring decimal numbers are rational numbers.
Which one of the following is an irrational number:
Is the product of a rational and irrational number always irrational? Give an example.
Let a be a rational number and b be an irrational number. Is ab necessarily an irrational number ? Justify your answer with an example.
Given, √=1.4141 and √=2.449, find the value of 1√−√−1 correct to 3 places of decimal.
What Type of Software Is Ms – Word?
Let x be a rational number and y be an irrational number. Is x+y necessarily an irrational number ? Give an example in support of your answer.
Which is greater:
Write a pair of irrational numbers whose product is rational.
If x=√+12, find the value of 4x3+2x2−8x+7.
Prove that √5-√3is not a rational number
What is the value of 16√9√ ?
The value of √ is
(a)√+√ (b)√−√ (c)√+√ (d)√−√
Find the value of 21√10√
Simplify the following expressions :
(a)√ (b)5√ (c)6√ (d) None of these
When 15√is divided by 3√ the quotient is