Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\sqrt{(65)^{2}-(16)^{2}}=?$$

Answer

63

Solution


Simplify  \({65}^{2}\)  to  \(4225\).
\[\sqrt{4225-{16}^{2}}\]
Simplify  \({16}^{2}\)  to  \(256\).
\[\sqrt{4225-256}\]
Simplify  \(4225-256\)  to  \(3969\).
\[\sqrt{3969}\]
Since \(63\times 63=3969\), the square root of \(3969\) is \(63\).
\[63\]
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