विद्या की चाह

If (a – 8) ²  + (b + 2)  ²  + (c – 3) ²  = 0, then find the value √(a +b + c).

Find the largest 5-digit number that is divisible by 12, 15, 18, and 24. Also, what is the remainder when this number is divided by 11?

If 112 ÷28 x 2² –12 x 6 ÷ 3 +12 = z, then find the value of z.

If a + b + c = 9 and ab + bc + ca = 20, then find the value of a² + b² + c².

1/3 + 1/15 + 1/35 + 1/63 + 1/99 = ?

 `sqrt(sqrt(15+sqrt(15+sqrt(15)) ... prop)`   = ?

If x = 15, find x⁵ - 16x⁴ + 16x³ - 16x² + 16x - 16 = ?