Find the square root of 21 – 2√54.1. 3√2 – √3 2. √2 �

1.	Find the square root of 21 – 2√54.1. 3√2 – √3 2. √2 – √3 3. 18 – 3√3 4. 9 – 3√3
Answer» Correct Answer - Option 1 : 3√2 – √3 Given: The number is 21 – 2√54 Formula Used: (a + b)² = a² + b² + 2 × a × b Calculation: The square root of 21 – 2√54 ⇒ √(21 – 2√54) ⇒ √(21 – 2 × √18 × √3) ⇒ √(18 + 3 – 2 × √18 × √3) ⇒ √[(√18)² + (√3)² – 2 × √18 × √3] ⇒ √(√18 – √3)² ⇒ √18 – √3 ⇒ 3√2 – √3 ∴ The square root of 21 – 2√54 is 3√2 – √3.

Find the square root of 21 – 2√54.1. 3√2 – √3 2. √2 – √3 3. 18 – 3√3 4. 9 – 3√3

Answer» Correct Answer - Option 1 : 3√2 – √3

Given:

The number is 21 – 2√54

Formula Used:

(a + b)² = a² + b² + 2 × a × b

Calculation:

The square root of 21 – 2√54

⇒ √(21 – 2√54)

⇒ √(21 – 2 × √18 × √3)

⇒ √(18 + 3 – 2 × √18 × √3)

⇒ √[(√18)² + (√3)² – 2 × √18 × √3]

⇒ √(√18 – √3)²

⇒ √18 – √3

⇒ 3√2 – √3

∴ The square root of 21 – 2√54 is 3√2 – √3.

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Find the square root of 21 – 2√54.1. 3√2 – √3 2. √2 – √3 3. 18 – 3√3 4. 9 – 3√3

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