Find the square root of 0.00324.
0.05692
To find the square root of 0.00324, convert the decimal into a fraction and evaluate:
1. Express 0.00324 as a fraction:0.00324 = 324 / 100,000
2. Apply the square root rule for fractions:√(0.00324) = √(324 / 100,000) = √(324) / √(100,000)
3. Calculate the square root of the numerator and denominator:
• Numerator: √(324) = 18 (since 18 × 18 = 324)
• Denominator: √(100,000) = √(10,000 × 10) = 100√(10) ≈ 100 × 3.16227766 = 316.227766
4. Divide the numerator by the denominator: 18 / 316.227766 ≈ 0.05692099...
Rounding to 5 decimal places yields 0.05692.
Hence, 0.05692
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