$CATEGORY: Maths - TicTacLearn/1. Real Numbers/1. Real Numbers--Revisiting Irrational Numbers

//Multiple Choice

An irrational number is always a  {
= Real number
~ Rational number
~ Real and Rational number
~ None of the above
}

An irrational number cannot be expressed as a {
~ Decimal
~ Whole number
= Fraction
~ None of the above
}

The value of the square root of any prime number is an irrational number {
= Irrational number
~ Rational number
~ Prime number
~ None of the above
}

The sum of a rational number and an irrational number is always {
= Irrational number
~ Rational number
~ Prime number
~ None of the above
}

Which of the following numbers is not an irrational number? {
~ pi π
= 22÷7
~ 1.5353353335….
~ 2.7878878887
}

Which of the following is not irrational? {
~ (3 + √7)
~ (3 – √7)
= (3 + √7) (3 – √7)
~ 3√7
}

Ifa and b are integers and is represented in the form of a/b, then it is a\: {
~ Whole number
= Rational number
~ Natural number
~ Even number
}

//True or False

An irrational number is non-repeating and non-terminating as the decimal part never ends and never repeats itself. {T}

For any two irrational numbers, their least common multiple (LCM) may or may not exist. {T}

The product of a rational number and an irrational number is irrational. {T}

Rational numbers are perfect squares; while irrational numbers are surds. {F}

Rational numbers are finite or recurring decimals. {T}

Irrational numbers are non-finite or non-recurring decimals. {T}

An irrational number is one that can’t be written as a ratio of two integers. {T}

Rational numbers refer to a number that can be expressed in a ratio of two integers. {T}

Are these examples of rational numbers\: 2,3, 4,5,6…. {T}

Are these examples of irrational numbers\: pi, Golden ratio√2,  √3, √4, √5.. {F}

Are all square roots are irrational {F}

The product of 33÷2 and 5÷4 is an irrational number. {F}


//Numericals

Simplify √50? {
= 5√2
~ 10√2
~ 25√2
~ 2√5
}

Which of the following is an irrational number? {
~ √16
~ 2.5
= √7
~ 4
}

Find the value of √2× √8 {
= 4
~ 6
~ 2√2
~ 2√8
}

Rationalise 1/ √3 {
= √3/3
~ √3
~ 3/√3
~ √3/2
}

Simplify √12 + √27 {
~ 3√3/+2√3
~ 5/√3
= 6√3
~ 3√2
}

//Fill in the blanks



//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=Real Numbers include -> Rational and Irrational numbers
=Every real number is not -> an irrational number
=√81 is -> Rational number
=√12 a -> Irrational number
}



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