Question : What is the value of $ \sqrt{0.48 \times 0.48+0.25 \times 0.25+0.5 \times 0.48} $ ?
Option 1: 0.63
Option 2: 0.93
Option 3: 0.83
Option 4: 0.73
Correct Answer: 0.73
Solution :
Use: (a + b)
2
= a
2
+ b
2
+ 2ab
According to the question
⇒ $ \sqrt{0.48 \times 0.48+0.25 \times 0.25+0.5 \times 0.48}$
= $ \sqrt{0.48^2 + 0.25^2 + 2 × 0.25 \times 0.48}$
= $ \sqrt{(0.48 + 0.25)^2}$
= 0.73
Hence, the correct answer is 0.73.
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