Find the value of √2+√(5÷√(5 if √(5 = 2.236 and under root 10 = 3.162
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21
Hey friend,
Here is the answer you were looking for:
Given the values:
√10 = 3.162
![\frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{5} } \\ \\ on \: rationalizing \: the \: denminator \: we \: get \\ \\ = \frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \\ \\ = \frac{ \sqrt{5}( \sqrt{2} + \sqrt{5}) }{ {( \sqrt{5}) }^{2} } \\ \\ = \frac{ \sqrt{5} \times \sqrt{2} + \sqrt{5} \times \sqrt{5} }{5} \\ \\ = \frac{ \sqrt{10} + 5 }{5} \\ \\ (putting \: the \: value) \\ \\ = \frac{3.162 + 5}{5} \\ \\ = \frac{8.162}{5} \\ \\ = 1.632 \frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{5} } \\ \\ on \: rationalizing \: the \: denminator \: we \: get \\ \\ = \frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \\ \\ = \frac{ \sqrt{5}( \sqrt{2} + \sqrt{5}) }{ {( \sqrt{5}) }^{2} } \\ \\ = \frac{ \sqrt{5} \times \sqrt{2} + \sqrt{5} \times \sqrt{5} }{5} \\ \\ = \frac{ \sqrt{10} + 5 }{5} \\ \\ (putting \: the \: value) \\ \\ = \frac{3.162 + 5}{5} \\ \\ = \frac{8.162}{5} \\ \\ = 1.632](https://tex.z-dn.net/?f=+%5Cfrac%7B+%5Csqrt%7B2%7D+%2B++%5Csqrt%7B5%7D++%7D%7B+%5Csqrt%7B5%7D+%7D++%5C%5C++%5C%5C+on+%5C%3A+rationalizing+%5C%3A+the+%5C%3A+denminator+%5C%3A+we+%5C%3A+get+%5C%5C++%5C%5C++%3D++%5Cfrac%7B+%5Csqrt%7B2%7D+%2B++%5Csqrt%7B5%7D++%7D%7B+%5Csqrt%7B5%7D+%7D++%5Ctimes++%5Cfrac%7B+%5Csqrt%7B5%7D+%7D%7B+%5Csqrt%7B5%7D+%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B+%5Csqrt%7B5%7D%28+%5Csqrt%7B2%7D+%2B++%5Csqrt%7B5%7D%29+++%7D%7B+%7B%28+%5Csqrt%7B5%7D%29+%7D%5E%7B2%7D+%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B+%5Csqrt%7B5%7D+%5Ctimes++%5Csqrt%7B2%7D+++%2B++%5Csqrt%7B5%7D++%5Ctimes++%5Csqrt%7B5%7D+%7D%7B5%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B+%5Csqrt%7B10%7D+%2B+5+%7D%7B5%7D++%5C%5C++%5C%5C++%28putting+%5C%3A+the+%5C%3A+value%29+%5C%5C++%5C%5C++%3D++%5Cfrac%7B3.162+%2B+5%7D%7B5%7D++%5C%5C++%5C%5C++%3D++%5Cfrac%7B8.162%7D%7B5%7D++%5C%5C++%5C%5C++%3D+1.632)
Hope this helps!!
If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.
@Mahak24
Thanks...
☺☺
Here is the answer you were looking for:
Given the values:
√10 = 3.162
Hope this helps!!
If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.
@Mahak24
Thanks...
☺☺
Answered by
1
Answer:
√10 = 3.162
15
4.0
√2 + √5
√5
on rationalizing the denominator we get
√2 + √5 √5 X √5 √5
(putting the value)
3.162 +5 5
8.162 5
= 1.632
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