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 ?
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If \({ \text{ }}2*3 = \sqrt {13} \) and 3 * 4 = 5, then the value of 5 * 12 is ?
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2
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What is the smallest number by which 3600 be divided to make it a perfect cube ?
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3
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1250 oranges were distributed among a group of girls of a class. Each girl got twice as many oranges as the number of girls in that group. The number of girls in the group was = ?
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4
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The smallest number to be added to 680621 to make the sum a perfect square is = ?
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5
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One-fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river. Find the total number of camels ?
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6
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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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7
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If \(3\sqrt 5 + \sqrt {125} \) = 17.88, then what will be the value of \(\sqrt {80} + 6\sqrt 5 ?\)
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8
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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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9
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A man born in the first half of the nineteenth century was x years old in the year x2. He was born in ?
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10
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\(\sqrt {176 + \sqrt {2401} } \) is equal to = ?
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