Example

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

Question

$$\frac{ a+( \sqrt{ { a }^{ 2 } - { b }^{ 2 } ) } }{ ( \sqrt{ { a }^{ 2 } - { b }^{ 2 } )+b } }$$

Answer

(a+sqrt((a+b)*(a-b)))/(sqrt((a+b)*(a-b))+b)

Solution


Use Difference of Squares: \({a}^{2}-{b}^{2}=(a+b)(a-b)\).
\[\frac{a+\sqrt{(a+b)(a-b)}}{\sqrt{(a+b)(a-b)}+b}\]
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