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
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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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Question : What is the value of $ \frac{2.5 \times 2.5+0.3 \times 0.3+5 \times 0.3}{1.6 \times 1.6+0.6 \times 0.6-1.2 \times 1.6} $?
Option 1: 7.64
Option 2: 8.64
Option 3: 2.8
Option 4: 7.84
Question : What is the value of $\frac{1.2 \times 1.2+0.2 \times 0.2+1.2 \times 0.4}{1.8 \times 1.8+0.4 \times 0.4-1.8 \times 0.8} ?$
Option 1: 0.1
Option 2: 0.25
Option 3: 0.2
Option 4: 1
Question : What is the value of $\frac{\sqrt{24} + \sqrt{216}}{\sqrt{96}}$?
Option 1: $2\sqrt{6}$
Option 2: $4\sqrt{6}$
Option 3: $2$
Option 4: $4$
Question : The value of $\sqrt{3\sqrt{3\sqrt{3......}}}$ is equal to:
Option 1: $\sqrt{3}$
Option 2: $3$
Option 3: $2\sqrt{3}$
Option 4: $3\sqrt{3}$
Question : What is the value of $\sqrt{1.6 \times 1.6+0.9 \times 0.9+3.2 \times 0.9}$?
Option 1: 6.5
Option 2: 2.5
Option 3: 6.25
Option 4: 5.5
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