Class 9 RD Sharma Solutions – Рационализация главы 3 – Упражнение 3.2 | Набор 2
Вопрос 6. В каждом из следующих определите рациональные числа a и b:
(я) 
(ii) 
(iii) 
(4) 
(в) 
(мы) 
Решение:
(i) We know that rationalisation factor for
. We will multiply numerator and denominator of the given expression
, to get
On equating rational and irrational terms, we get
Hence, we get a = 2, b = 1
(ii) We know that rationalisation factor for
. We will multiply numerator and denominator of the given expression
, to get
On equating rational and irrational terms, we get
Hence, we get a = 3, b = 2
(iii) We know that rationalisation factor for
. We will multiply numerator and denominator of the given expression, to get
On equating rational and irrational terms, we get
Hence, we get a =
, b =
(iv) We know that rationalisation factor for
. We will multiply numerator and denominator of the given expression
, to get
On equating rational and irrational terms, we get
Hence, we get a = -1, b = 1
(v) We know that rationalisation factor for
. We will multiply numerator and denominator of the given expression
, to get
On equating rational and irrational terms, we get
Hence, we get a =
, b =
(vi) We know that rationalisation factor for
. We will multiply numerator and denominator of the given expression
, to get
On equating rational and irrational terms, we get
Hence, we get a =
, b =
Вопрос 7. Если 
, найдите значение 
Решение:
We know that
. We have to find the value of
As
Therefore,
We know that rationalization factor for
. We will multiply numerator and denominator of the given expression
to get,
Putting the value of
, we get
Hence the value of the given expression is 52.
Вопрос 8. Если 
. Найдите значение
Решение:
We know that
. We have to find the value of
Therefore,
We know that rationalization factor for
.
We will multiply numerator and denominator of the given expression
to get,
Putting the value of
We get,
Hence the given expression is simplified to 34.
Вопрос 9. Найдите значение 
, учитывая, что 
Решение:
We know that for rationalization factor we will multiply denominator and numerator of the given expression
to get,
Putting the values of
we get,
Hence, value of the given expression is 11.904.
Вопрос 10. Найдите значение каждого из следующих правильных до трех знаков после запятой, учитывая, что 
(я) 
(ii) 
Решение:
(i) We know that rationalization factor for
We will multiply numerator and denominator of the given expression
to get
Putting the values of
We get
Hence, the given expression is simplified to 0.102.
(ii) We know that rationalization factor for
We will multiply numerator and denominator of the given expression
to get
Putting the values of
We get
Hence, the given expression is simplified to 14.071.
Вопрос 11. Если 
, найдите значение 
Решение:
We have,
It can be simplified as
On squaring both sides, we get
The given equation can be rewritten as
Therefore, we have
Hence, the value of given expression is 10.
