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Please help meeeeeeee​

Please help meeeeeeee​-example-1

1 Answer

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\\ \rm\Rrightarrow \left(x+(1)/(x)\right)^2


\\ \rm\Rrightarrow \left((x^2+1)/(x)\right)^2\dots(1)

  • .Find x²


\\ \rm\Rrightarrow \left((1)/(√(2)+√(5))\right)^2


\\ \rm\Rrightarrow (1)/(2+2√(10)+5)


\\ \rm\Rrightarrow (1)/(2√(10)+7)

Now put in eq(1)


\\ \rm\Rrightarrow \left(((1)/(2√(10)+7)+1)/((1)/(2√(10)+7))\right)^2


\\ \rm\Rrightarrow \left((1+2√(10)+7)/(2√(10)+7)* (2√(10)+7)\right)^2


\\ \rm\Rrightarrow \left((2√(10)+8)/(2√(10)+7)* (2√(10)+7)\right)^2


\\ \rm\Rrightarrow \left(\frac{(2√(10)+8)\cancel{(2√(10)+7)}}{\cancel{2√(10)+7}}\right)^2


\\ \rm\Rrightarrow (2√(10)+8)^2


\\ \rm\Rrightarrow 40+32√(10)+64


\\ \rm\Rrightarrow 32√(10)+94

More simplification (If required)


\\ \rm\Rrightarrow 2^52^{(1)/(2)}√(5)+94


\\ \rm\Rrightarrow 2^{5+(1)/(2)}√(5)+94


\\ \rm\Rrightarrow 2^{(11)/(2)}√(5)+94


\\ \rm\Rrightarrow \sqrt{2^(11)}√(5)+94


\\ \rm\Rrightarrow √(2048(5))+94


\\ \rm\Rrightarrow √(10240)+94

Most accurate


\\ \rm\Rrightarrow 101.19+94


\\ \rm\Rrightarrow 195.19

User Madhuka Harith
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