Evaluating the Sum of Square Roots
The problem requires calculating the sum of the square roots of four decimal numbers: 0.04, 1.44, 1.69, and 0.0009.
Step-by-Step Calculation
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Calculate the square root of the first number:
$\sqrt{0.04} = \sqrt{\frac{4}{100}} = \frac{\sqrt{4}}{\sqrt{100}} = \frac{2}{10} = 0.2$
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Calculate the square root of the second number:
$\sqrt{1.44} = \sqrt{\frac{144}{100}} = \frac{\sqrt{144}}{\sqrt{100}} = \frac{12}{10} = 1.2$
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Calculate the square root of the third number:
$\sqrt{1.69} = \sqrt{\frac{169}{100}} = \frac{\sqrt{169}}{\sqrt{100}} = \frac{13}{10} = 1.3$
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Calculate the square root of the fourth number:
$\sqrt{0.0009} = \sqrt{\frac{9}{10000}} = \frac{\sqrt{9}}{\sqrt{10000}} = \frac{3}{100} = 0.03$
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Sum the results obtained in the previous steps:
$0.2 + 1.2 + 1.3 + 0.03 = 2.73$
Final Value
The sum of the given square roots is 2.73.
Similar Questions
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Important Questions from Simplification
What will come in the place of the question mark ‘?’ in the following question?
(15 + 24) × 3 ÷ 13 + 18 – 5 = ?
What should come in place of the question mark '?' in the following question?
\n13 × 3 of 5 ÷ 26 = ? + 2.5What should come in place of the question mark '?' in the following question?
10% of 450 - (8 × 5) = ? × 5
What will come in the place of the question mark ‘?’ in the following question?
(66)2 - (34)2 + ?2 = (60)2
What will come in the place of the question mark ‘?’ in the following question?
3 × ? ÷ 9 = ∛729 × √121
