Simplify the Mathematical Expression
The question asks us to simplify the expression $9^2 + 4^2 + \sqrt{36}$. To do this, we need to evaluate each part of the expression separately and then combine the results.
Evaluating the Terms
Let's break down the expression into its components:
- First term: $9^2$ means 9 multiplied by itself. $9^2 = 9 \times 9 = 81$
- Second term: $4^2$ means 4 multiplied by itself. $4^2 = 4 \times 4 = 16$
- Third term: $\sqrt{36}$ is the square root of 36, which is the number that, when multiplied by itself, equals 36. $\sqrt{36} = 6 \quad \text{(since } 6 \times 6 = 36 \text{)}$
Combining the Results
Now, we add the values of each term together:
$81 + 16 + 6$First, add 81 and 16:
$81 + 16 = 97$Then, add the result to 6:
$97 + 6 = 103$Final Simplified Value
The simplified value of the expression $9^2 + 4^2 + \sqrt{36}$ is 103.
Important Questions from Simplification (Notes)
- In the Delhi zoo, there are some ducks and rabbits. If the heads are counted there are 160, while the legs are 450. What will be number of ducks in the zoo ?
Identify the number that will replace the question mark in the second equation based on the relationship represented in the first equation.
Simplify: $\frac{\sqrt{16x^4 - 72x^2y^2 + 81y^4}}{\sqrt{4x^2 - 12xy + 9y^2}} - (2x - 3y)$, given that $2x > 3y$.
- Simplify:
$\frac{2}{5} \text{ of } \left(\left(\frac{3}{4} \div 0.25\right) + \frac{1}{2}\right) - \frac{1}{3}$ What value should come in the place of question mark (?) in the following equation?
$(0.008\div?) + (0.006 \div 0.03) + (0.008 \div 0.04) =0.5$
