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Rationalisation MATHS - Rationalisation

Rajasthan Board (RBSE) - STD 9 - MATHS (Rajasthan - 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 1M.C.Q1 Mark
If $\sqrt2=1.414,$ then the value of $\sqrt6-\sqrt3$ upto three place of decimal is:
  1. 0.235
  2. 0.707
  3. 1.414
  4. 0.471
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Q 3M.C.Q1 Mark
If $\text{x}=7+4\sqrt3$ and xy = 1, then $\frac{1}{\text{x}^2}+\frac{1}{\text{y}^2}=$
  1. 64
  2. 134
  3. 194
  4. $\frac{1}{49}$
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Q 4M.C.Q1 Mark
If $\frac{\sqrt3-1}{\sqrt3+1}=\text{a}-\text{b}\sqrt3,$ then:
  1. a = 2, b = 1
  2. a = 2, b = -1
  3. a = -2, b = 1
  4. a = b = 1
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Q 5M.C.Q1 Mark
If $\text{x}=\sqrt6+\sqrt5,$ then $\text{x}^2+\frac{1}{\text{x}^2}-2=$
  1. $2\sqrt6$
  2. $2\sqrt5$
  3. $24$
  4. $20$
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Q 102 Marks Questions2 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 Marks Questions2 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 153 Marks 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 Marks Questions4 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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