If \(a = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}} \) and \(b = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}},\) the value of \(\left( {\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}} \right)\) is ?
3/4
4/3
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5/3
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R is a positive number. It is multiplied by 8 and then squared. The square is now divided by 4 and the square root is taken. The result of the square root is Q. What is the value of Q ?
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2
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How many two-digit numbers satisfy this property. : The last digit (unit's digit) of the square of the two-digit number is 8 ?
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3
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If \(\sqrt 5 = 2.236, \) then the value of \(\frac{{\sqrt 5 }}{2} - \frac{{10}}{{\sqrt 5 }} + \sqrt {125} \) is equal to :
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4
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\(1728 \div \root 3 \of {262144} \times ? - 288\) = 4491
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5
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The value of \(\sqrt {0.000441} \) is = ?
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6
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Find the cube root of 2744.
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7
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Given \(\sqrt 5 = 2.2361, \sqrt 3 = 1.7321{ \text{,}} then \frac{1}{{\sqrt 5 - \sqrt 3 }}\) is equal to ?
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8
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\(\left( {\frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }} + \frac{{2 - \sqrt 3 }}{{2 + \sqrt 3 }} + \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}} \right) \) simplifies to = ?
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9
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What is the least number to be added to 7700 to make it a perfect square ?
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10
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One-fourth of the sum of prime numbers, greater than 4 but less than 16, is the square of = ?
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