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Rationalisation Maths - Rationalisation

Maharashtra Board - STD 9 - Maths (MSBSHSE - English Medium). 94 questions in this chapter.

Question types

Rationalisation question types

94 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

94
Questions
5
Question groups
5
Question types
Sample Questions

Rationalisation questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ(1M)1 Mark
If $\sqrt2=1.414,$ then the value of $\sqrt6-\sqrt3$ upto three place of decimal is:
  • A
    $0.235$
  • ✓
    $0.707$
  • C
    $1.414$
  • D
    $0.471$

Answer: B.

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Q 3MCQ(1M)1 Mark
If $\text{x}=7+4\sqrt3$ and $xy = 1,$  then $\frac{1}{\text{x}^2}+\frac{1}{\text{y}^2}=$
  • A
    $64$
  • B
    $134$
  • ✓
    $194$
  • D
    $\frac{1}{49}$

Answer: C.

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Q 4MCQ(1M)1 Mark
If $\frac{\sqrt3-1}{\sqrt3+1}=\text{a}-\text{b}\sqrt3,$ then:
  • ✓
    $a = 2, b = 1$
  • B
    $a = 2, b = -1$
  • C
    $a = -2, b = 1$
  • D
    $a = b = 1$

Answer: A.

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Q 5MCQ(1M)1 Mark
If $\text{x}=\sqrt6+\sqrt5,$ then $\text{x}^2+\frac{1}{\text{x}^2}-2=$
  • A
    $2\sqrt6$
  • B
    $2\sqrt5$
  • C
    $24$
  • ✓
    $20$

Answer: D.

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Q 102 Mark Question2 Marks
Find the value to three place of decimals of each of the following. It is given that $\sqrt2=1.414,\ \sqrt3=1.732,\ \sqrt5=2.236,\ \sqrt10=3.162.$$\frac{\sqrt{2}-1}{\sqrt5}$
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Q 112 Mark Question2 Marks
Find the value to three place of decimals of each of the following. It is given that $\sqrt2=1.414,\ \sqrt3=1.732,\ \sqrt5=2.236,\ \sqrt10=3.162.$$\frac{2+\sqrt{3}}{3}$
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Q 143 Mark Question3 Marks
Find the value to three place of decimals of each of the following. It is given that $\sqrt2=1.414,\ \sqrt3=1.732,\ \sqrt5=2.236,\ \sqrt10=3.162.$$\frac{\sqrt{10}+\sqrt{15}}{\sqrt{2}}$
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Q 194 Mark Question4 Marks
Find the value of the following correct to three place of decimals, it begin that $\sqrt2=1.4142, \sqrt3=1.732,\ \sqrt5=2.2360,\ \sqrt6=2.4495$ and $\sqrt{10}=3.162.$$\frac{3-\sqrt5}{3+2\sqrt5}$
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