Evaluate 15-10 - -20 - -40 - -5 - -80 - it being given that -5 - 2-236 and -10 - 3-162

15√(10)+√(20)+√(40) √(5) √(80)=15√(10)+2√(5)+2√(10) √(5) 4√(5)=153√(10) 3√(5) #160; #160; #160; #160; #160; #160; #160; #160; #1 ...

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Identities for Irrational Numbers

Evaluate 15...

Question

Evaluate $\frac{15}{\sqrt{10} + \sqrt{20} + \sqrt{40} - \sqrt{5} - \sqrt{80}}$ , it being given that $\sqrt{5} = 2.236$ and $\sqrt{10} = 3.162$

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Evaluate $\frac{15}{\sqrt{10} + \sqrt{20} + \sqrt{40} - \sqrt{5} - \sqrt{80}}$ , it us given that $\sqrt{5} = 2.236$ and $\sqrt{10} = 3.162$

\frac{15}{\sqrt{10} + \sqrt{20} + \sqrt{40} + \sqrt{5} - \sqrt{80}}

\sqrt{5} = 2.236 a n d \sqrt{10} = 3.162

\frac{15}{\sqrt{10} + \sqrt{20} + \sqrt{40} - \sqrt{5} - \sqrt{80}}

\sqrt{5} = 2.236 and \sqrt{10} = 3.162

\begin{array}{rcl} \frac{15}{\sqrt{10} + \sqrt{20} + \sqrt{40} - \sqrt{5} - \sqrt{80}} & = & \frac{15}{\sqrt{10} + 2 \sqrt{5} + 2 \sqrt{10} - \sqrt{5} - 4 \sqrt{5}} \\ = & \frac{15}{3 \sqrt{10} - 3 \sqrt{5}} = \frac{5}{\sqrt{10} - \sqrt{5}} \end{array}

\frac{15}{\sqrt{10} + \sqrt{20} + \sqrt{40} - \sqrt{5} - \sqrt{80}}

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