Question

\(\sqrt{110.25} \times \sqrt{0.01} \div \sqrt{0.0025} - \sqrt{420.25}\) is equal to

• A. \(0.75\)
• B. \(0.50\)
• C. \(0.64\)
• D. \(0.73\)

Hint:

Simplify each square root to a decimal first, then apply BODMAS in order: multiply, divide, subtract.

Answer 1

The Correct Option is B

Step 1: Simplify each square root.
\(\sqrt{110.25} = 10.5\), \(\sqrt{0.01} = 0.1\), \(\sqrt{0.0025} = 0.05\), and \(\sqrt{420.25} = 20.5\).

Step 2: Substitute these values.
The expression becomes \(10.5 \times 0.1 \div 0.05 - 20.5\).

Step 3: Follow BODMAS, multiply first.
\(10.5 \times 0.1 = 1.05\).

Step 4: Then divide.
\(1.05 \div 0.05 = 21\).

Step 5: Subtract last.
\(21 - 20.5 = 0.5\).

Step 6: Rule out the other options.
Values like \(0.75\), \(0.64\), and \(0.73\) would only appear if a wrong root or a wrong order of operations were used, so they do not match this careful step-by-step evaluation.

Final Answer:
The expression equals \(0.5\). \[ \boxed{0.5} \]