Question

8√8 ÷ 3√2 is _______
(a) an integer
(b) a rational number
(c) a whole number
(d) an irrational number

Answer 1

8√8 ÷ 3√2

= [8 ×( 2√2 )]/3√2

[ since , √8 = √(2×2)×2 = 2√2 ]

= 16√2/3√2

After cancellation , we get

= 16/3

a Rational Number

Therefore ,

option ( b ) is correct.

••••

Answer 2

Given Question : 8√8 ÷ 3√2


First, solving numerator : 8√8

→ 8√8

→ 2 × 2 × 2 √8

→ 2 × 2 × 2 × √2 × √2 × √2

→ 2 × 2 × 2 × ( √2 )² × √2

→ 2 × 2 × 2 × 2 × √2

→ 16√2


Now, solving denominator : 3√2

→ 3√2

→ 3 × √2 × 1

It can't be splitted further.



Therefore :

8√8 ÷ 3√2

16√2 ÷ 3√2

16 ÷ 3


Hence, 8√3 ÷ 3√2 = 16 ÷3



16 / 3 is rational number .



Hence,

Option ( b ) is correct.

8√3 ÷ 3√2 is a rationale number.

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