$CATEGORY: Maths - TicTacLearn/1. Real Numbers/1. Real Numbers--The Fundamental Theorem of Arithmetic

//Multiple Choice

The number √12 is {
~ Rational and Irrational number
~ Rational number
= Irrational number
~ None of the above
}

The number √16 is {
~ Rational and Irrational number
= Rational numbers
~ Irrational number
~ None of the above
}

The number  √5 is {
~ Rational and Irrational number
~ Rational numbers
= Irrational number
~ None of the above
}

The number √3 is {
~ Rational and Irrational number
~ Rational numbers
= Irrational number
~ None of the above
}

//True or False

The sum of two irrational numbers may be rational or irrational. {T}

The product of two irrational numbers, the sum of two irrational numbers will result in a rational or irrational number. {T}

The number  1/√2 is rational number {F}

The  number 7√5 is an irrational number {T}

The number,  6 + √2 is a rational number {F}

The number 3 + 2√5 is rational number {F}

//Numericals

Simplify (√2)\(^2\) {
= 2
~ 4
~ √4
~ None of the above
}

Evaluate  √50 {
= a. 5√2
~ b. 10
~ c. √25
~ d. None of the above
}

Find the  value of  √18 {
= a. 3√2
~ b. √9
~ c. √6
~ d. None of the above
}

Simplify   √12 + √27 {
~ a. 9√3
= b. 6√3
~ c. 3√3
~ d. None of the above
}

//Fill in the blanks

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

The square root of a prime number is always _______. {
~ Rational
= Irrational
~ Undefined
~ Infinity
}

The decimal representation of √7  is _______. {
~ Terminating
~ Non-terminating and repeating
= Non-terminating and non-repeating
~ None of the above
}

The product of  √2 and √3 is _______. {
~ Rational
= Irrational
~ Undefined
~ None of the above
}

√4 is _______. {
= Rational
~ Irrational
~ Prime
~ None of the above
}

The value of √7 × √7 is _______. {
~ 10
~ 5
~ √10
~ None of the above
}

The difference between √8 and √2 is _______. {
~ Rational
= Irrational
~ Undefined
~ None of the above
}

If a   is a rational number and b is an irrational number, then a+b   is _______. {
~ Rational
= Irrational
~ Undefined
~ None of the above
}

The square of an irrational number can be _______. {
~ Rational
= Irrational
= Both
~ None of the above
}

√9 is equal to _______. {
= 3
~ √3
~ 9
~ None of the above
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=√3 ->  Irrational
=√25 -> Rational
=Pi -> Non- Terminating
=√2 + √3 -> Irrational
}



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