If \(a = \frac{{\sqrt 3 + \sqrt 2 }}{{\sqrt 3 - \sqrt 2 }}, b = \frac{{\sqrt 3 - \sqrt 2 }}{{\sqrt 3 + \sqrt 2 }}\) then the value of \({a^2} + {b^2}\) would be = ?
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The square root of \(\left( {7 + 3\sqrt 5 } \right) \left( {7 - 3\sqrt 5 } \right)\) is
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2
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\(1728 \div \root 3 \of {262144} \times ? - 288\) = 4491
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3
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The value of \({ \text{ }} \root 3 \of {\frac{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}{{0.4 \times 0.4 \times 0.4 + 0.08 \times 0.08 \times 0.08}}} \) is ?
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4
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The least perfect square, which is divisible by each of 21, 36 and 66 is:
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5
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\(\sqrt {\frac{{25}}{{81}} - \frac{1}{9}} = ?\)
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6
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What is the least number to be added to 7700 to make it a perfect square ?
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7
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If \(x = 3 + \sqrt 8 , \) then \({x^2} + \frac{1}{{{x^2}}}\) is equal to = ?
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8
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The number of digits in the square root of 625685746009 is = ?
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9
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By what least number 4320 be multiplied to obtain a number which is a perfect cube?
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10
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\(\left( {\frac{{\sqrt {625} }}{{11}} \times \frac{{14}}{{\sqrt {25} }} \times \frac{{11}}{{\sqrt {196} }}} \right){\kern 1pt} \) is equal to :
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