Question

If x = 7-43 then find the value of x+1x?
A) 3sqrt{3}
B) 8sqrt{3}
C) 14
D) 14+8sqrt{3}

Answer 1

If x = 7-43 then find the value of x+1x?
A) 3sqrt{3}
B) 8sqrt{3}
C) 14
D) 14+8sqrt{3}✔️✔️✔️

Answer 2

hi

here is your answer

If x=7+4√3, then what will be the value of √x+1/√x?

(x−−√+1x−−√)2=x+2+1x=(7+43–√)+2+17+43–√=(7+43–√)+2+(7−43–√)=16

x−−√+1x−−√=4

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Hope it helps…

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From observations we can see that

x=4+3+2*2*√3

x=(2+√3)^2

1/x=(1/(7+4√3))*((7–4√3)/(7–4√3)) Rationalize

1/x=7–4√3

1/x=4+3–2*2*√3

1/x=(2-√3)^2

Hence ,

√x +1/√x =4, when both roots are positive.

hope it helps

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