If √(0.014 × 0.14 p) = 0.014 × 0.14 √q, then the value of p/q is –
2021
If √(0.014 × 0.14 p) = 0.014 × 0.14 √q, then the value of p/q is –
- A.
0.196
- B.
0.0196
- C.
0.00196
- D.
0.000196
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Correct answer: C
Square both sides of the equation to eliminate the square root on the left: 0.014 × 0.14 p = (0.014 × 0.14)² q.
Expand the right side: 0.014 × 0.14 p = (0.014)² × (0.14)² q.
Divide both sides by 0.014 × 0.14 × q to isolate p/q: p/q = (0.014)² × (0.14)² / (0.014 × 0.14).
Simplify the fraction: p/q = 0.014 × 0.14.
Calculate the product: 0.014 × 0.14 = 0.00196.