Tag: existence of irrational numbers
Questions Related to existence of irrational numbers
Which is not an Irrational number?
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$5-\sqrt{3}$
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$\sqrt{2}+\sqrt{5}$
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$4+\sqrt{2}$
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$6+\sqrt{9}$
We know that sum of two irrational number or one rational and one irrational number will be irrational number. Option A, B , C stisfies this criteria but option D have two rational number i.e. $6 + \sqrt { 9 }$ = $6+ 3=9$
$\left ( 2+\sqrt{5} \right )\left ( 2+\sqrt{5} \right )$ expression is :
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A rational number
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A whole number
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An irrational number
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A natural number
${ (2+\sqrt { 5 } ) }^{ 2 }\ =4+5+4\sqrt { 5 } \ =9+4\sqrt { 5 } $
A pair of irrational numbers whose product is a rational number is:
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$\sqrt{16}, \sqrt{4}$
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$\sqrt{5}, \sqrt{2}$
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$\sqrt{3}, \sqrt{27}$
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$\sqrt{36}, \sqrt{2}$
A number is an irrational if and only if its decimal representation is :
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non terminating
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non terminating and repeating
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non terminating and non repeating
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terminating
According to definition of irrational number, If written in decimal notation, an irrational number would have an infinite number of digits to the right of the decimal point, without repetition.
Which of the following is not an irrational number?
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$5-\sqrt{3}$
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$\sqrt{5}+\sqrt{3}$
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$4+\sqrt{2}$
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$5+\sqrt{9}$
$\pi$ is _______
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a rational number
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an integer
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an irrational number
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a whole number
Which of the following number is irrational ?
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$\sqrt{16}-4$
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$(3-\sqrt{3}) (3+\sqrt{3})$
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$\sqrt{5}+3$
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$-\sqrt{25}$
In the given options $\sqrt { 16 }$ and $\sqrt { 25 } $ are irrational numbers. Their real values are 4 and 5 respectively. So, option A and C are incorrect.
Which one of the following is an irrational number ?
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0.14
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0.1416
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0.14169452
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0.4014001400014.....
In the given options, only option D is non terminating non recurring decimal.
A number is an irrational if and only if its decimal representation is :
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non $-$ terminating
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non $-$ terminating and repeating
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non $-$ terminating and non $-$ repeating
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terminating
Irrational numbers have decimal expansions that neither terminate nor repeating
Which of the following is an irrational number ?
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$\sqrt{23}$
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$\sqrt{225}$
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$0.3796$
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$7.478$
In the given options,