Question

Find the value of $\sqrt{\frac{0.030625}{0.001225}}$.

• A. 25
• B. 15
• C. 20
• D. 5

Answer 1

Answer:

D. 5

The final simplified value is 5.

1: Simplify the decimal places

Both the numerator and denominator have 6 decimal places after the decimal point:

• $0.030625$ has 6 digits ($0, 3, 0, 6, 2, 5$)

• $0.001225$ has 6 digits ($0, 0, 1, 2, 2, 5$)

Since the number of decimal places is identical, you can multiply both the top and bottom by $1,000,000$ to completely remove the decimals:
$\sqrt{\frac{30625}{1225}}$

---

2: Divide the numbers

Now, divide $30625$ by $1225$:
$30625 \div 1225 = 25$

---

3: Take the square root

Now, compute the final square root:
$\sqrt{25} = 5$