Choose the correct answer with Reason
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1) An Irrational number as if we subtract rational from irrational, remainder will be irrational.
2)7/(22×53) = 7/1166 = 0.006003431. it will terminate after 9 places of decimal.
3)63/(72×175)= 0.005. Terminating decimal
as denominator factors of 2 and 5.
4) Product of numbers = product of HCF and LCM
so, product of two numbers is - 4×9696 = 38784.
5) Irrational no. as sum of irrational and a rational is always irrational.
6) (9/7)³ × (49/81)^2x-6 = (7/9)^9
or, (9/7)³ × (7/9)^2(2x-6)= (7/9)^9
or, (9/7)³ × (7/9)^4x-12 = (7/9)^9
or, (7/9)^-3 × (7/9)^ 4x - 12 = (7/9)^9
or, (7/9)^ (-3)+4x-12=(7/9)^9
or,(7/9)^4x-15 = (7/9)^9
or, 4x -15 = 9
or, 4x = 9+15
or, 4x = 24
or, x =6
7) It is non terminating and non - repeating decimal.
9) 0.57 in P/Q form is 57/100 or 57/99 approx.
10) 0.57 in P/Q form is 57/100 or 57/99 approx
11)They can be multiple of any of them.
12) if P is prime factor of k² , then it'll divide k and 2k² as their factors will be common.
2)7/(22×53) = 7/1166 = 0.006003431. it will terminate after 9 places of decimal.
3)63/(72×175)= 0.005. Terminating decimal
as denominator factors of 2 and 5.
4) Product of numbers = product of HCF and LCM
so, product of two numbers is - 4×9696 = 38784.
5) Irrational no. as sum of irrational and a rational is always irrational.
6) (9/7)³ × (49/81)^2x-6 = (7/9)^9
or, (9/7)³ × (7/9)^2(2x-6)= (7/9)^9
or, (9/7)³ × (7/9)^4x-12 = (7/9)^9
or, (7/9)^-3 × (7/9)^ 4x - 12 = (7/9)^9
or, (7/9)^ (-3)+4x-12=(7/9)^9
or,(7/9)^4x-15 = (7/9)^9
or, 4x -15 = 9
or, 4x = 9+15
or, 4x = 24
or, x =6
7) It is non terminating and non - repeating decimal.
9) 0.57 in P/Q form is 57/100 or 57/99 approx.
10) 0.57 in P/Q form is 57/100 or 57/99 approx
11)They can be multiple of any of them.
12) if P is prime factor of k² , then it'll divide k and 2k² as their factors will be common.
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