Simplify: (√5 + √2)2
Identify a rational number among the following numbers:
2 + √2, 2√2, 0 and π
Express 23.43 in form, where p, q are integers and q ≠ 0.
Simplify: √45 – 3√20 + 4√5
Rationalize the denominator of the following:
If x + = √3, find value of x3 + .
Represent √17 on number line.
If = a + b√6, the find the value of a and b.
Represent √5 on number line.
Find out three rational numbers lying between 3 and 4.
If 72x + 3 = 1, then what is the value of x?
Convert 0.4777777.... in form.
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.
Visualize 3.765 on the number line, using successive magnification.
Simplify: (i) * (ii) (iii)
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
How many rational numbers and irrational numbers can be inserted between 4 and 5?
Write the following in decimal form and say what kind of decimal expansion each has:
(i) (ii) (iii)
Find the value of when √10 = 3.162.
If x = , find the value of x2 – 4x – 1.