Square root of \(9 \frac{67}{121}\)is:1. \(\frac{68}{11}\)2. \(\frac{

1.	Square root of \(9 \frac{67}{121}\)is:1. \(\frac{68}{11}\)2. \(\frac{23}{11}\)3. \(\frac{20}{11}\)4. \(\frac{34}{11}\)
Answer» Correct Answer - Option 4 : \(\frac{34}{11}\) Given: Our given expression is \(9 \frac{67}{121}\) Calculation: Converting mixed fraction to the fraction, Our given expression is \(9 \frac{67}{121}\) ⇒ (9 × 121 + 67)/121 ⇒ 1156/121 Using prime factorization in numerator and denominator, 1156 = 2 × 2 × 17 × 17 And, 121 = 11 × 11 The square root of the given number = (1156/121)^1/2 ⇒ {(2 × 2 × 17 × 17)/(11 × 11)}^1/2 ⇒ 34/11 ∴ The square root of the given expression is 34/11

Square root of \(9 \frac{67}{121}\)is:1. \(\frac{68}{11}\)2. \(\frac{23}{11}\)3. \(\frac{20}{11}\)4. \(\frac{34}{11}\)

Answer» Correct Answer - Option 4 : \(\frac{34}{11}\)

Given:

Our given expression is \(9 \frac{67}{121}\)

Calculation:

Converting mixed fraction to the fraction,

Our given expression is \(9 \frac{67}{121}\)

⇒ (9 × 121 + 67)/121

⇒ 1156/121

Using prime factorization in numerator and denominator,

1156 = 2 × 2 × 17 × 17

And, 121 = 11 × 11

The square root of the given number = (1156/121)^1/2

⇒ {(2 × 2 × 17 × 17)/(11 × 11)}^1/2

⇒ 34/11

∴ The square root of the given expression is 34/11