Calculate Square Root Values
First, find the square root of each number given in the expression.
- To find $\sqrt{9801}$: We look for a number whose square is 9801. We know $90^2 = 8100$ and $100^2 = 10000$. Since 9801 ends in 1, the root must end in 1 or 9. Trying 99, we get $99 \times 99 = 9801$. Thus, $\sqrt{9801} = 99$.
- To find $\sqrt{1681}$: We look for a number whose square is 1681. We know $40^2 = 1600$. Since 1681 ends in 1, the root must end in 1 or 9. Trying 41, we get $41 \times 41 = 1681$. Thus, $\sqrt{1681} = 41$.
Subtracting Square Roots
Now, subtract the second square root value from the first one.
The expression becomes:
$99 - 41$
Performing the subtraction:
$99 - 41 = 58$
The final value of the expression $\sqrt{9801} - \sqrt{1681}$ is 58.
Similar Questions
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[{70 - 60 ÷ 2 of 6} + (20 - 10) ÷ 10] + 600 ÷ 25 of (2 × 3) × (2 of 3) + 2 of 5.Simplify:
\(-\frac{7}{6} + \frac{4}{9} \div \frac{5}{3} \times \frac{1}{16}\)
Important Questions from Simplification
The value of {5 - 5 ÷ (10 - 12) × 8 + 9} × 3 + 5 + 5 × 5 ÷ 5 of 5 is:
What should come in place of the question mark (?) in the following question?
[((16 ÷ 4) × 4) ÷ 4] = ?
Simplify the following expression.
\(\frac{{6\frac{1}{2} + 2\frac{5}{7} \times \frac{{14}}{{19}} - \frac{1}{2} \div 2\ of\frac{1}{4}}}{{11 \times 12 \div 12 + 12}}\)
The value of \(\left( {\frac{7}{5} \div \frac{7}{{10}}of\frac{3}{4}} \right) \div \frac{4}{9} + \left( {\frac{7}{{16}} \div 10\frac{1}{2} \times 7\frac{1}{5}} \right) \times \frac{5}{{12}} \) is:
The value of \(\left( {{1 \over 2}} \right)\) [{–2(12 + 2)}10] is:
