EXERCISE  1.5                                                                                           PAGE:23

Question 1. Find :
(i)

(ii)

(iii)

 

Solution :
(i)

We know that

We conclude thatcan also be written as

Therefore, the value ofwill be 8.

(ii)

We know that

We conclude thatcan also be written as

Therefore, the value ofwill be 2.

(iii)

We know that

We conclude thatcan also be written as

Therefore, the value ofwill be 5.

 

Question 2. Find:
(i)

(ii)

(iii)

(iv)

Solution :
(i)

We know that

We conclude thatcan also be written as

=27

Therefore, the value ofwill be 27.

(ii)

We know that

We conclude thatcan also be written as

= 4

Therefore, the value ofwill be 4.

(iii)

We know that

We conclude thatcan also be written as

= 8

Therefore, the value ofwill be 8.

(iv)

We know that

We conclude thatcan also be written as, or.

We know that

We know thatcan also be written as

Therefore, the value ofwill be.

 

Question 3. Simplify :
(i)

(ii)

(iii)

(iv)

Solution :
(i)

We know that

.

We can conclude that

Therefore, the value ofwill be.

(ii)

We know that

We conclude that can also be written as.

(iii)

We know that

We conclude that

.

Therefore, the value of will be.

(iv)

We know that

.

We can conclude that

Therefore, the value of will be.