Question

5. Can you find the approximate value for
$\sqrt{17} + \sqrt{51 + \sqrt{152 + \sqrt{289} } }$
​

Answer 1

I hope it will help you

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

TO CALCULATE

$\sf{ \sqrt{17} + \sqrt{51 + \sqrt{152 + \sqrt{289} } } \: }$

CALCULATION

$\sf{ \sqrt{17} + \sqrt{51 + \sqrt{152 + \sqrt{289} } } \: }$

$= \sf{ \sqrt{17} + \sqrt{51 + \sqrt{(152 +17)} } \: }$

$= \sf{ \sqrt{17} + \sqrt{51 + \sqrt{169} } \: }$

$= \sf{ \sqrt{17} + \sqrt{(51 + 13) } \: }$

$= \sf{ \sqrt{17} + \sqrt{64 } \: }$

$= \sf{ \sqrt{17} + 8 \: }$

ADDITIONAL INFORMATION

The given may be like as below :

EVALUATE :

$\sf{ \sqrt{17 + \sqrt{51 + \sqrt{152 + \sqrt{289} } }} \: }$

EVALUATION

$\sf{ \sqrt{17 + \sqrt{51 + \sqrt{152 + \sqrt{289} } }} \: }$

$= \sf{ \sqrt{17 + \sqrt{51 + \sqrt{(152 + 17) } }} \: }$

$= \sf{ \sqrt{17 + \sqrt{51 + \sqrt{169 } }} \: }$

$= \sf{ \sqrt{17 + \sqrt{(51 + 13) }} \: }$

$= \sf{ \sqrt{17 + \sqrt{64 }} \: }$

$= \sf{ \sqrt{17 + 8} \: }$

$= \sf{ \sqrt{17 + 8} \: }$

$= \sf{ \sqrt{25} \: }$

$= \sf{5 \: }$

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━━━━━━━━━━━━━━━━LEARN MORE FROM BRAINLY

Out of the following which are proper fractional numbers?

(i)3/2

(ii)2/5

(iii)1/7

(iv)8/3

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