If √2= 1.414 then find the value of √8+√50+√72+√98
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Answered by
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Hey mate
![\sqrt{8} + \sqrt{50} + \sqrt{72} + \sqrt{98} \\ = 2 \sqrt{2} + 5 \sqrt{2} + 6 \sqrt{2} + 7 \sqrt{2} \\ = \sqrt{2} (2 + 5 + 6 + 7) \\ = \sqrt{2} \times 20 \\ = 20 \times 1.414 \\ = 28.240 \: ans \sqrt{8} + \sqrt{50} + \sqrt{72} + \sqrt{98} \\ = 2 \sqrt{2} + 5 \sqrt{2} + 6 \sqrt{2} + 7 \sqrt{2} \\ = \sqrt{2} (2 + 5 + 6 + 7) \\ = \sqrt{2} \times 20 \\ = 20 \times 1.414 \\ = 28.240 \: ans](https://tex.z-dn.net/?f=+%5Csqrt%7B8%7D++%2B++%5Csqrt%7B50%7D++%2B++%5Csqrt%7B72%7D++%2B++%5Csqrt%7B98%7D++%5C%5C++%3D+2+%5Csqrt%7B2%7D++%2B+5+%5Csqrt%7B2%7D++%2B+6+%5Csqrt%7B2%7D++%2B+7+%5Csqrt%7B2%7D++%5C%5C++%3D++%5Csqrt%7B2%7D+%282+%2B+5+%2B+6+%2B+7%29+%5C%5C++%3D++%5Csqrt%7B2%7D++%5Ctimes+20+%5C%5C++%3D+20+%5Ctimes+1.414+%5C%5C++%3D+28.240+%5C%3A+ans)
riya8190:
Thanks
Answered by
11
we first make the factors of root it gives the answer 2root 20 than final answer is 28.28
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