Question

Convert the following pure surds into mixed surds.
(i)root 128 (ii) 3 root 81
(iii)root 125
(iv) 3 root 64
(v) 4 root243​

Answer 1

Answer:

(i) 8√2

(ii) 27

(iii) 5√5

(iv) 24

(v) 36√3

Answer 2

The correct answers are  $8\sqrt{2},27,5\sqrt{5} ,24,36\sqrt{3}$.

Given: Pure surds = $\sqrt{128},3\sqrt{81} ,\sqrt{125},3\sqrt{64},4\sqrt{243}$.

To Find: Convert them into mixed surds.

Solution:

(i) $\sqrt{128}$ = $\sqrt{2*64}$

= $\sqrt{2*8^{2} }$

= $8\sqrt{2}$

(ii) $3\sqrt{81}$ = $3\sqrt{9*9}$

= 3*9

= 27

(iii) $\sqrt{125}$ = $\sqrt{5*25}$

= $\sqrt{5*5^{2} }$

= $5\sqrt{5}$

(iv) $3\sqrt{64}$ = $3\sqrt{8*8}$

= 3*8

= $24$

(v) $4\sqrt{243}$ = $4\sqrt{81*3}$

= $4\sqrt{9^{2} *3}$

= $36\sqrt{3}$

Hence, the mixed surds of pure surds are $8\sqrt{2},27,5\sqrt{5} ,24,36\sqrt{3}$ respectively.

#SPJ2