Example

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

Question

$$\sqrt{ 7+ \frac{ 8 }{ \sqrt{ 7+8 } } EVALUVATE }$$

Answer

sqrt(7+(8*EVALUVATE*sqrt(15))/15)

Solution


Simplify  \(7+8\)  to  \(15\).
\[\sqrt{7+\frac{8}{\sqrt{15}}EVALUVATE}\]
Rationalize the denominator: \(\frac{8}{\sqrt{15}} \cdot \frac{\sqrt{15}}{\sqrt{15}}=\frac{8\sqrt{15}}{15}\).
\[\sqrt{7+\frac{8\sqrt{15}}{15}EVALUVATE}\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[\sqrt{7+\frac{8\sqrt{15}EVALUVATE}{15}}\]
Regroup terms.
\[\sqrt{7+\frac{8EVALUVATE\sqrt{15}}{15}}\]

Decimal Form: 2.645751

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