Introduction to irrational numbers - class-V
Description: introduction to irrational numbers | |
Number of Questions: 66 | |
Created by: Vaibhav Pathak | |
Tags: factors and factorization of algebraic expressions playing with numbers number systems factors and multiples reviewing number concepts hightest common factor (hcf) and lowest common factor (lcm) basic algebra be my multiple, i'll be your factor hcf and lcm of three numbers maths numbers integers, powers and roots real numbers revision of previous lessons hcf and lcm relation among numbers information processing rational numbers real numbers (rational and irrational numbers) |
State whether true or false:
Which of the following is an irrational number?
Each of the following numbers is irrational
i) $(5 + 3\sqrt{2})$
ii) $3 \sqrt{7}$
iii) $\dfrac{3}{\sqrt{5}}$
iv) $(2 - 3\sqrt{5})$
v) $(\sqrt{3} + \sqrt{5})$
State whether the following statement is true or false.
$7\sqrt {5}$
$2-\sqrt {3}$ is an irrational number.
State whether the following statement is true or false.
$6+\sqrt {2}$
Which of the following is always true
If the product of two irrational numbers is rational, then which of the following can be concluded?
$\frac { 2 } { 2 + \sqrt { 3 } }$ is an irrational number
If $a=\sqrt{11}+\sqrt{3}, b =\sqrt{12}+\sqrt{2}, c=\sqrt{6}+\sqrt{4}$, then which of the following holds true ?
A rational number equivalent to $ \displaystyle \frac{-5}{-3} $ is -
Every irrational number is
Which of the following are not a surd?
What is the square of $(2 + \sqrt {2})$?
State whether the following statement is True or False.
3.54672 is an irrational number.
State the following statement is True or False
35.251252253...is an irrational number
For three irrational numbers $p,q$ and $r$ then $p.(q+r)$ can be
Which of the following irrational number lies between $\dfrac{3}{5}$ and $\dfrac{9}{10}$
Which one of the following statements is not correct?
State whether the given statement is true/false:
Is the following are irrational numbers
$\sqrt{6}+\sqrt{2}$
Given that $\sqrt {3}$; rational. Then " $2 + \sqrt {3}$ is irrational. "is true/false
If a, b and c are real numbers and $\dfrac{a+1}{ b}=\dfrac{7}{3}, \ \ \dfrac{b+1}{ c}=4 , \ \ \dfrac{c+1}{ a}=1$, then what is the value of $abc$
$\sqrt{3}-\sqrt{5}$ is an rational number.
$\sqrt{6+\sqrt{6+\sqrt{6+\sqrt{6+...}}}}$ up to $\infty$ is?
$\sqrt{5}\left{(\sqrt{5}+1)^{50}-(\sqrt{5}-1)^{50}\right}$ is?
Find x if $\dfrac{\sqrt{3x+1}+\sqrt{3x-6}}{\sqrt{3x+1}-\sqrt{3x-6}}=7$.
Evaluate $\sqrt[3]{\left(\dfrac{1}{64}\right)^{-2}}$.
Find the square root :
$\dfrac {\surd 2}{3}$ is irrational number.
$2+\sqrt {2}$ is an irrational number.
$\dfrac {5+\sqrt {2}}{3}$ is an irrational number.
The simplified form of the expression $\sqrt { \sqrt [ 3 ]{ 729{ x }^{ 12 } } } -\dfrac { { x }^{ -2 }-{ x }^{ -3 } }{ { x }^{ -4 }-{ x }^{ -5 } } $ is
$\sqrt{5}$ is a rational number.
$\sqrt{7}+7$ is a rational number
Which of the following is an irrational number?
$7+\sqrt7$ is irrational
Assuming that x,y,z are positive real numbers,simplify the following :
$ (\sqrt{x})^{-2/3}\sqrt{y^{4}}\div \sqrt{xy^{-1/2}} $
Which of the following is an irrational number?
The multiplicative inverse of $-1 + \sqrt{2}$ is
If a = 0.1039, then the value of $\sqrt{4a^2-4a+1}+3a$ is :
Which one of the following is not true?
Which one of the following is not true?
If $a$ is an irrational number then which of the following describe the additive inverse of $a$.
If $ x = ( 2 + \sqrt3)^n , n \epsilon N $ and $ f = x - [x],$ then $ \dfrac {f^2}{1-f} $ is :
The product of two irrational numbers is
Which of the following irrational number lies between 20 and 21
The equation $\sqrt{x+4}$- $\sqrt{x-3}$+ 1=0 has:
State whether True or False :
(i) $\dfrac { 2 }{ \sqrt { 7 } } $ (ii) $\dfrac { 3 }{ 2\sqrt { 5 } }$ (iii) $4+\sqrt { 2 } $ (iv) $5\sqrt { 2 } $
Prove following equation as irrational
$\sqrt { 7 }$ is a
State True or False:
GCF of $99$ and $100$ is __________