1.

If x=3+underroot8, then find value of (x square +1/2x square)

Answer»

Answer:

x=3+underoot8

squaring both side

x^2=[3+underoot8]^2

x^2=9+8+6root8

x^2=17+6root8

now

1/2x^2

=1/{2[17+6root8]}

1/[34+12root8]

rationalise

[34-12root8]/[34^2-12root8^2]

[34-12root8]/[1156-1152]

[34-12root8]/4

now

ACCORDING to question

x^2+1/2x^2

=17+6root8+34/4-12root8/4

=25.5+3root8

=25.5+6root8 ans

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