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Step-by-step explanation:
1) three rational numbers between 3 and 4 are 7/2,18/5,19/5. three irrational numbers between 3 and 4 are 2√6,3√2,3√5.
Because a rational number is a number that can be expressed in p/q form where q is not equal to 0.
2)A rationalising factor is a number that converts irrational number into rational number.
so the rationalising factor of 7-2√3 is 7-2√3.
3)By rationalising it's denominator we get the form of
. So its denominator is 17.
4)p/q form of a)0.6=2/3
b)0.7=7/9
c)4.7=43/90
d)0.159=36/225
e)4.035=799/198
5)x=2.Because 1/a= a^-1nda^m*a^n=a^m+n.
And if bases are equal then powers are also equal.
6)-1+2√10-4√6
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