Rationals/irrationals, decimal expansions, exponent laws, surd rationalisation MCQs
Practice Rationals/irrationals, decimal expansions, exponent laws, surd rationalisation multiple-choice questions from Number Systems (Class 9 Maths) - tap an answer for instant feedback and a step-by-step solution. Practice the full set free on the RankByte app.
Rationals/irrationals, decimal expansions, exponent laws, surd rationalisationQuiz - Solve & Score
Q1. Which fraction has a non-terminating recurring decimal expansion?
- A.23/45
- B.11/40
- C.13/250
- D.7/8
Answer: A. 23/45
Q2. Which of the following is rational?
- A.(√5+√3)(√5−√3)
- B.√5 + √3
- C.(√5+1)²
- D.√2·√3
Answer: A. (√5+√3)(√5−√3)
The problem states: the data stated in the problem. Required: the unknown asked in the stem. Formula - (√5+√3)(√5−√3) = 5 − 3 = 2, rational. This is the equation that links the given quantities to the unknown (math, chapter 'Number Systems'). Plugging the values in: (√5+√3)(√5−√3) = 5 − 3 = 2, rational → (√5+1)² = 6+2√5, √2·√3 = √6, and √5+√3 are all irrational. Consequently the answer is A) (√5+√3)(√5−√3).
Q3. If a is rational and nonzero and b is irrational, which must be irrational?
- A.a + b
- B.ab (always)
- C.a/b (always)
- D.a − b is always rational
Answer: A. a + b
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