Evaluating the Square Root Expression
The problem asks for the value of the expression: $ \sqrt{121} + \sqrt{0.0225} - \sqrt{5.76} $ We need to calculate each square root term individually and then combine them.
Calculating Individual Square Roots
- First Term: $ \sqrt{121} $ Since $11 \times 11 = 121$, we have $ \sqrt{121} = 11 $.
- Second Term: $ \sqrt{0.0225} $ We know $15 \times 15 = 225$. To get $0.0225$, we need $0.15 \times 0.15$. So, $ \sqrt{0.0225} = 0.15 $.
- Third Term: $ \sqrt{5.76} $ We know $24 \times 24 = 576$. To get $5.76$, we need $2.4 \times 2.4$. So, $ \sqrt{5.76} = 2.4 $.
Combining the Terms
Now, substitute the calculated values back into the original expression:
$ 11 + 0.15 - 2.4 $Final Calculation
Perform the addition and subtraction:
- Add the first two terms: $ 11 + 0.15 = 11.15 $
- Subtract the third term from the result: $ 11.15 - 2.4 = 8.75 $
Therefore, the value of the expression is $8.75$.
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
