Practice Algebra Questions and Answers

•   `sqrt(sqrt(6+sqrt(6+sqrt(6)) ... prop)`   = ?
•  `sqrt(sqrt(2+sqrt(2+sqrt(2)) ... prop)`   = ?
•  `sqrt(sqrt(10+sqrt(10+sqrt(10)) ... prop)`   = ?
•  `sqrt(sqrt(17+sqrt(17+sqrt(17)) ... prop)`   = ?
•  `sqrt(sqrt(15+sqrt(15+sqrt(15)) ... prop)`   = ?
• `sqrt(sqrt(6-sqrt(6-sqrt(6)) ... prop)`  = ?
• `sqrt(sqrt(56-sqrt(56-sqrt(56)) ... prop)`  = ?
•  `sqrt(sqrt(10-sqrt(10-sqrt(10)) ... prop)` = ?
•    = ?
• The value of:    1) 532/31 2) 531/32 3) 530/31 4) 531/30...
• (123×123×123 + 130×130×130)/(123×123 - 123×130 + 130×130) = ? 
• (15 x 15 x 15 + 8 x 8 x 8)/(15 x 15 -15 x 8 + 8 x 8) = ?
•  = ?
•    = ?...
• ((99.9 - 20.9)² + (99.9 + 20.9)² )/(99.9 x 99.9 + 20.9 x 20.9) = ?...
• If   a 2 + b 2 + c 2 = 40 & ab + bc + ca = 12 then  a + b+ c = ?
• If 3x + (1/3x) = 9 then find 27x³ + (1/27x³ ) = ?
• If tan x + cot x  = 7, find  tan3 x + cot3 x = ?
• If     = 4 then   = ? ...
• If = 3 then = ? ...
• If = 2 then find ...
• If z + (1/z) = 2 then find z105 + 1/(z105) = ?
• If y + 1/y = 2 then find y117 + 1/(y117)
• If = 2 then find ...
• If = -2 then find . ...
• If a = 5.392, b = 2.634 and c = 2.758 then value of a3- b3- c3 - 3abc is. ...
• If x, y and z are real numbers such that (x-3)2+(y-6)2+(z-8)2= 0 then (x+y+z) is equal to ...
• If x, y and z are real numbers such that (x-5)2+(y-7)2+(z-9)2= 0 then (x+y+z) is equal to
• If x, y and z are real numbers such that (x-5)2+(y-8)2+(z-12)2= 0 then (x+y+z) is equal to
• If x = 10 + 2√21, then the value of √x - (1/√x)? ...
• If x = 6 + 2√5, then the value of √x - (1/√x)?
• If (x –1.3)3+(x–1.4)3+(x–1.5)3 = 3(x–1.3)(x–1.4)(x–1.5), Then x = ?
• If (x –4)3+(x–5)3+(x–6)3 = 3(x–4)(x–5)(x–6), Then x = ?
•  + +   +   +   = ?...
•  + +   +   +   = ?...
• 1/3 + 1/15 + 1/35 + 1/63 + 1/99 = ?
• if a2 + b2 + c2 = 2(4a -5b -6c)-77 , then a-b-c = ?
• if a2 + b2 + c2 = 2(3a -5b -6c)-70 , then a-b-c = ?
• if a2 + b2 + c2 = 2(4a -5b -9c)-122 , then a-b-c = ?