Finding the Value of the Square Root Expression
The question asks to evaluate the expression $\sqrt{121} + \sqrt{0.0196} - \sqrt{8.41}$. We need to calculate each square root term individually.
Calculating Individual Square Roots
- Calculate $\sqrt{121}$: Since $11 \times 11 = 121$, we have $\sqrt{121} = 11$.
- Calculate $\sqrt{0.0196}$: We find that $14 \times 14 = 196$. For the decimal part, $0.14 \times 0.14 = 0.0196$. Thus, $\sqrt{0.0196} = 0.14$.
- Calculate $\sqrt{8.41}$: We know $29 \times 29 = 841$. Adjusting for the decimal places, $2.9 \times 2.9 = 8.41$. Therefore, $\sqrt{8.41} = 2.9$.
Evaluating the Expression
Now, substitute the calculated square root values back into the original expression:
$ \sqrt{121} + \sqrt{0.0196} - \sqrt{8.41} = 11 + 0.14 - 2.9 $
Perform the addition first:
$ 11 + 0.14 = 11.14 $
Next, perform the subtraction:
$ 11.14 - 2.9 = 8.24 $
The value of the expression is 8.24.
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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
