Question:
if and
, find
Answer:
We have,
=>
=>
Similarly , we have,
∴
=>
=>
Find the value to three places of decimals, of each of the following: It is given that
(i)
(ii)
(iii)
Q 2.
Simplify:
(i)
[NCERT] (ii)
Q 3.
Rationalise the denominator in each of the following:
(i)
[NCERT]
(ii)
(iii)
Q 4.
Simplify each of the following :
(i)
(ii)
(iii)
Q 5.
if
and
, find
Q 6.
Simplify:
(i)
(ii)
Q 7.
if
and
, find
Q 8.
If both a and b are rational numbers, find the values of a and b in each of the following equalities :
(i)
(ii)
(iii)
(iv)
(v)
(vi)
Q 9.
Rationalise the denominator of :
2 3
Q 10.
Simplify each of the following by rationalising the denominator:
(i)
(ii)
(iii)
(iv)
Q 11.
Given that
approximately, find to three places of decimals the value of
Q 12.
Simplify each of the following by rationalising the denominator:
(i)
(ii)
(iii)
(iv)
Q 13.
if
,
find the value of
Q 14.
If x = 2 +
, find the value of
Q 15.
Rationalise the denominator of : 1 3 + 2
Q 16.
Prove that :
Q 17.
Prove that :
Q 18.
If x = 3 -
, find the value of
Q 19.
Simply the following expression:
(i)
[NCERT]
(ii)
Q 20.
Rationalise the denominator of : 5 3 - 5
Q 21.
Rationalise the denominator of : 1 7 + 3 2
Q 22.
If 2 = 1.414 , find the value of 3 ÷ 6 upto three places of decimals.
Q 23.
If
, find the value of
Q 24.
Simply each of the following:
(i)
(ii)
Q 25.
Evaluate
, is being given that
= 2.236 and
= 3.162
Q 26.
Find the value to three places of decimals, of each of the following:
It is given that 2 = 1.414 , 3 = 1.732, 10 = 3.162 and 5 = 2.236 (approx.).
(i) 2 + 1 5 (ii) 2 - 3 3 (iii) 10 - 5 2