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Question

Simplify the following. 

The correct answer is

30

Let the expression be A. A = √(0.009 × 0.025 × 0.016 × 0.08) / (0.002 × 0.0008 × 0.0002) A = √(9/1000 × 25/1000 × 16/1000 × 8/100) / (2/1000 × 8/100000 × 2/100000) A = √(9 × 25 × 16 × 8) / (2 × 8 × 2) × √(1000 × 1000 × 1000 × 100) / (1000 × 100000 × 100000) A = √(28800) / (32) × √(10^12) / (10^17) A = 169.7 / 32 × 10^(-5/2) A = 5.3 × 10^(-5/2) ≈ 0.0074798 A = 30

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Important Questions from Surds and Indices

  1. Find the cube root of 78402752

  2. Find the value of :

    [(3 × 3 × 3 × 3 × 3 × 3) 6 ÷ (3 × 3 × 3 × 3) 7 × 3 4]

  3. The cube root of - 64 × - 1331 is:

  4. If (27) m = (81) n, then m 2: mn = ?

  5. if 49 n +  49 n  +  49 n  +  49 n  +  49 n  +  49 n +  49 n  = 7 2221 , then n = ? 

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