Question

Give the decimal representation of the above root.

Answer 1

Step-by-step explanation:

Given :-

√(3:24)

To find :-

Find the decimal representation ?

Solution

Given that

√(3:24)

=> √(3/24)

=> √(1/8)

=> √1/√8

=> 1/√8

=> 1/√(2×2×2)

=> 1/2√2

The Rationalising factor of √2 is √2

On Rationalising the denominator then

=> (1/2√2)×(√2/√2)

=> (1×√2)/(2√2×√2)

=> √2/(2×2)

=> √2/4

We know that

√2 = 1.414 (approximately)

So,

√2/4 = 1.414/4

=> 0. 3535

Therefore, √(3:24) = 0.3535 (approximately)

Answer:-

The decimal representation of √(3:24) is 0.3535

Used formulae:-

→ a:b can be written as a/b

→ √2 = 1.414...