Example

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

Question

$$8+ \sqrt{ 2 \sqrt{ 7 \sqrt{ 9 \sqrt{ - } } } }$$

Answer

8+sqrt(2*sqrt(7*3*sqrt(sqrt()*IM)))

Solution


Simplify  \(\sqrt{-}\)  to  \(\sqrt{}\imath \).
\[8+\sqrt{2\sqrt{7\sqrt{9\sqrt{}\imath }}}\]
Use this rule: \(\sqrt{ab}=\sqrt{a}\sqrt{b}\).
\[8+\sqrt{2\sqrt{7\sqrt{9}\sqrt{\sqrt{}\imath }}}\]
Since \(3\times 3=9\), the square root of \(9\) is \(3\).
\[8+\sqrt{2\sqrt{7\times 3\sqrt{\sqrt{}\imath }}}\]
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