Question : What is the value of $\sqrt{0.33 \times 0.33+0.6 \times 0.6+1.2 \times 0.33}$?
Option 1: 0.93
Option 2: 0.69
Option 3: 0.39
Option 4: 0.73
Answer (1)
16th Jan, 2024
Correct Answer: 0.93
Solution :
Given: The given expression is $\sqrt{0.33 \times 0.33+0.6 \times 0.6+1.2 \times 0.33}$
We know the algebraic identity, $(a+b)^2=a^2+b^2+2ab$
$=\sqrt{0.33 \times 0.33+0.6 \times 0.6+2\times0.6 \times 0.33}$
$=\sqrt{(0.33+0.6)^2}$
$=0.33 +0.6$
$=0.93$
Hence, the correct answer is 0.93.
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