Question

\(\sqrt{110.25} × \sqrt{0.01} ÷ \sqrt{0.0025}− \sqrt{420.25}\) Equal to:

• A. 0.75
• B. 0.50
• C. 0.64
• D. 0.73

Answer 1

The Correct Option is B

To solve the expression \(\sqrt{110.25} \times \sqrt{0.01} \div \sqrt{0.0025} - \sqrt{420.25}\), follow these steps:

First, calculate each square root:

• Find \(\sqrt{110.25}\): This is \(10.5\) because \(10.5 \times 10.5 = 110.25\).
• Find \(\sqrt{0.01}\): This equals \(0.1\) because \(0.1 \times 0.1 = 0.01\).
• Find \(\sqrt{0.0025}\): This equals \(0.05\) because \(0.05 \times 0.05 = 0.0025\).
• Find \(\sqrt{420.25}\): This is \(20.5\) because \(20.5 \times 20.5 = 420.25\).

Next, substitute these values back into the expression:

\((10.5 \times 0.1) \div 0.05 - 20.5\)

Calculate \(10.5 \times 0.1\):

\(10.5 \times 0.1 = 1.05\)

Proceed with the division:

\(1.05 \div 0.05 = 21\)

Finally, subtract:

\(21 - 20.5 = 0.5\)

Thus, the expression equals 0.50.