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If \(x=\sqrt5+2 \), find the value of \(x\dfrac{1}{x} \)
Which one is true for a rational number?
\(\dfrac{123}{128} \) is a
it has only 2 as a factor so, it is a terminating decimal.
The value of \(\dfrac{1}{1+\sqrt2}+\dfrac{1}{\sqrt2+\sqrt3}+\dfrac{1}{\sqrt3+\sqrt4}….+\dfrac{1}{\sqrt{n1}+\sqrt n} \)
Which of the following is true?
How many rational numbers are there between any two non equal rational numbers?
There are infinite rational numbers between any two unequal rational numbers.
A fraction \(\dfrac{P}{Q} \) can be expressed as a terminating decimal, if â€˜\(Q \)â€™ has no prime fractions other than
If the prime factor of denominator having 2, 5 or 2 and 5 only then decimal representation of must be terminating.
The sum of a rational number and an irrational number is
The sum of a rational number and an irrational number is an irrational number.
Which of the following is an irrational number?
is an irrational number.
If \(a =3, b=5 \), the value of \( a^a+b^a \) is
Express \(0.\bar3 \) in the form of \(\dfrac{p}{q} \)
Let
Subtracting eqn (1) from eqn (2)
If a and b are rational number such that \(a\sqrt2=b\sqrt{15} \) then the possible values of a and b are
The possible values of a and b = 0
Express \(0.\bar{712} \) is the form of \(\dfrac{p}{q} \)
Let
A rational number equivalent to \(\dfrac{2}{5} \) is
If \(x=5+\sqrt{24} \), the value of \(\left(x^2+\dfrac{1}{x^2}\right) \) is
If x and y are rational numbers such that \(\dfrac{4+\sqrt3}{4\sqrt3}=x+y\sqrt3 \), the value of x and y is
If \(\dfrac{5}{x}=\dfrac{x}{5} \) then \( x\) is
which is not a rational number.
Which is an irrational number between \(\sqrt2 \) and \(\sqrt3 \)?
What is the rationalising factor of \(\sqrt[5]{a^2b^3c^4} \)
The product of two irrational numbers is
It may be rational or irrational number.
Which symbol is used to denote a collection of all positive integers?
The set of all positive integers is the set of natural numbers. It is denoted by N.
If \(x=\sqrt[3]{2+\sqrt3} \) the value of \(x^3+\begin{array}{c}1\\ x^3\end{array} \) is
and
Simplify \(\dfrac{a^{\frac{1}{2}}+a^{\frac{1}{2}}}{1a}+\dfrac{1a^{\frac{1}{2}}}{1+\sqrt a} \)
Identify a rational number between 5 and 5 is
0 is the only rational number between 5 and 5.
An example of a rational number between \(\sqrt3 \) and \( \sqrt{13}\) is
Number between them is 2.6
If \(\sqrt{12}=3.464 \) then the value of \(\dfrac{4\sqrt3}{3\sqrt4} \) is
The difference between the greatest and the least numbers of \(\dfrac{2}{7},\dfrac{9}{25},\dfrac{9}{13},\dfrac{8}{17} \) is
Greatest number
Least number
Difference
Which one of the following set of statements is correct?
(i) Rational number may or may not be an integer.
(ii) Some rational numbers can be represented on a number line
(iii) On a number line only rational numbers can be represented.
(iv) There are infinite number of rational numbers between two given rational numbers.
If \(y=\sqrt{\sqrt7+7+\sqrt{8+2\sqrt7}}\sqrt7 \) the value of \(y \) will be
Simplify \(\left(\dfrac{\sqrt31}{\sqrt3+1}+\dfrac{\sqrt3+1}{\sqrt31}\right) \)
\(x=\dfrac{1}{2\sqrt3} \), the value of \( x^32x^27x+10\) is
Squaring both the sides
Dividing by
Reminder is 8.
On putting we get the value of
Set of imaginary number is a subset of
If \(\dfrac{x}{x^{1.5}}=8x^{1} \), find \(x \)
Squaring both the sides
The sum of the digits of a number is subtracted from the number, the resulting number is always divisible by
The resulting number is always divisible by 9.
Eg 54 sum of the digits is 5 + 4 = 9
54 – 9 = 45 which is divisible 9
From a rope of 14 m long, two pieces of length \(\dfrac{11}{5} \) m and \( \dfrac{11}{9}\) m are cut off. What is the length of the remaining rope?
Length of first and second rope
Length of the remaining rope