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Step-by-step explanation:
q23.
√3 + √2 ÷ 3√2 - 2√3 = (√3 + √2) ( 3√2+ 2√3) ÷ ( 3√2 - 2√3)( 3√2+ 2√3)
= 12 + 5√6 ÷ 6 = 2 + (5/6)√6 = a - b√6
so
a = 2 , b = -5/6
q24.
x² + 1/x² = 83
x² + 1/x² -2 = 81
( x - 1/x )² = 9²
( x - 1/x ) = ±9
x³ - 1/x³ = ( x - 1/x )( x² + 1/x² + 1 ) = ±9x84 = ± 756
q25.
this can be proved by the 5th Euclidian axiom :
Fifth Axiom
Given a line L and a point P not on L, there is exactly one line through P that is
Two or more lines are parallel if they never intersect. They have the same slope and the distance between them is always constant.
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parallel to L.
Third Axiom
Given a point P and a distance r, you can draw a circle with centre P and radius
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