Non-terminating and non-repeating numbers are always rational numbers.
  • True
  • False
After evaluating \(\sqrt[3]{\left( 343 \right) ^{-2}}\) we get
  • \(\frac{1}{49}\)
  • 94
  • \(\sqrt{49}\)
  • 49
On simplification \(\left( 5+\sqrt{5} \right) \left( 5-\sqrt{5} \right) \) give
  • \(2\sqrt{5}\)
  • 10
  • 25
  • 20
\(\frac{4}{\sqrt{11}-\sqrt{7}}\) expressed with rational denominator is
  • \(\frac{\sqrt{11}-\sqrt{7}}{4}\)
  • \(\sqrt{11}-\sqrt{7}\)
  • \(\sqrt{11}+\sqrt{7}\)
  • \(\sqrt{7}-\sqrt{11}\)
The value of \(\sqrt[4]{\sqrt[3]{2^2}}\) is equal to
  • \(2^{-1/6}\)
  • \(2^{-6}\)
  • \(2^6\)
  • \(2^{1/6}\)
\(\sqrt{12}\) is a pure surd.
  • True
  • False
A rational number between -3 and 3 is
  • 1.101100110001…..
  • -3.4
  • 0
  • -4.3
If \(x=\frac{2}{3+\sqrt{7}}\), then \(\left( x-3 \right) ^2=\)
  • 3
  • 1
  • 6
  • 7
The sum of \(0.\bar{3}\) and \(0.\bar{4}\) is
  • \(0.\bar{1}2\)
  • \(0.\bar{7}\)
  • \(0.\bar{4}\)
  • \(0.\bar{1}\)
Reciprocal of 0 is
  • True
  • False
The decimal expansion of \(\sqrt{2}\) is
  • non-terminating recurring
  • non-terminating non-recurring
  • finite decimal
  • 1.4121
Simplified value of \(\left( 16 \right) ^{-\frac{1}{4}}\times \sqrt[4]{16}\) is
  • 16
  • 4
  • 1
  • 0
There are infinitely many rational numbers between \(\sqrt{2}\) and \(\sqrt{3}\).
  • True
  • False
\(\sqrt{2}\) is a polynomial of a degree
  • 2
  • \(\frac{1}{2}\)
  • 0
  • 1
If \(a,\,\, b, \,\, c\) are positive real numbers, then \(\sqrt{a^{-1}b}\times \sqrt{b^{-1}c}\times \sqrt{c^{-1}a}\) is equal to
  • \(\sqrt{abc}\)
  • \(abc\)
  • \(\frac{1}{abc}\)
  • 1
Each point on a number line always represents a unique real number.
  • True
  • False
If \(x+\sqrt{15}=4\), then \(x+\frac{1}{x}=\)
  • 8
  • 2
  • 4
  • 9
The irrational number between $\frac {5}{7}$ and $\frac {7}{9}$ is
  • \(\sqrt{6}\)
  • 0.750750075000….
  • 0.75
  • 0.7512
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