Question

height of a tree is found to be 80/√3+√2 ft then it's value correct to decimal point is​

Answer 1

By rationalizing the height of the tree, we can get the height in decimal points.

Given, height of the tree is $\Large \pink {\tt {\frac {80}{\sqrt{3} + \sqrt{2}}}}$

By rationalizing the denominator, we get

$\huge \purple {\tt {\frac{80}{\sqrt{3} + \sqrt{2}}}}$

$\huge \purple {\tt {\leadsto \frac {80}{\sqrt{3} + \sqrt{2}} \times \frac{\sqrt{3} - \sqrt{2}}{\sqrt{3} - \sqrt{2}}}}$

$\huge \purple {\tt {\leadsto \frac{80 \times (\sqrt{3} - \sqrt{2})}{3 - 2}}}$

$\huge \purple {\tt {\leadsto 80\sqrt{3} - 80\sqrt{2}}}$

$\LARGE \purple {\tt {\leadsto 25.4 ~ft (approx.)}}$

Answer 2

Answer:

25.3

Step-by-step explanation:

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