
Question 1:
Simplify: (√5 + √2)2
Question 2:
Identify a rational number among the following numbers:
2 + √2, 2√2, 0 and π
Question 3:
Express 23.43 in form, where p, q are integers and q ≠ 0.
Question 4:
Simplify: √45 – 3√20 + 4√5
Question 5:
Rationalize the denominator of the following:
(i) (ii)
Question 6:
If x + = √3, find value of x3 +
.
Question 7:
Represent √17 on number line.
Question 8:
If = a + b√6, the find the value of a and b.
Question 9:
Represent √5 on number line.
Question 10:
Find out three rational numbers lying between 3 and 4.
Question 11:
If 72x + 3 = 1, then what is the value of x?
Question 12:
Convert 0.4777777.... in form.
Question 13:
Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.
Question 14:
Visualize 3.765 on the number line, using successive magnification.
Question 15:
Simplify: (i) *
(ii)
(iii)
Question 16:
What is the product of a rational and an irrational number?
(a) Always an integer
(b) Always a rational number
(c) Always an irrational number
(d) Sometimes rational and sometimes irrational
Question 17:
How many rational numbers and irrational numbers can be inserted between 4 and 5?
Question 18:
Write the following in decimal form and say what kind of decimal expansion each has:
(i) (ii)
(iii)
Question 19:
Find the value of when √10 = 3.162.
Question 20:
If x = , find the value of x2 – 4x – 1.
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