Find the square root of (14 + 6√5).1. 2 – √52. 3 + √53. 3 –

1.	Find the square root of (14 + 6√5).1. 2 – √52. 3 + √53. 3 – √54. 2 + √5
Answer» Correct Answer - Option 2 : 3 + √5 GIVEN: Number = (14 + 6√5) CALCULATION: Let square root of (14 + 6√5) = (a + b√5) Now, (a + b√5)² = 14 + 6√5 a² + 5b² + 2√5ab = 14 + 6√5 After comparing : a² + 5b² = 14 ….. (1) ab = 3 ..… (2) From (1) and (2) : a = 3 and b = 1 Hence, required square root = (a + b√5) = (3 + √5)

Find the square root of (14 + 6√5).1. 2 – √52. 3 + √53. 3 – √54. 2 + √5

Answer» Correct Answer - Option 2 : 3 + √5

GIVEN:

Number = (14 + 6√5)

CALCULATION:

Let square root of (14 + 6√5) = (a + b√5)

Now,

(a + b√5)² = 14 + 6√5

a² + 5b² + 2√5ab = 14 + 6√5

After comparing :

a² + 5b² = 14 ….. (1)

ab = 3 ..… (2)

From (1) and (2) :

a = 3 and b = 1

Hence, required square root = (a + b√5)

= (3 + √5)

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Find the square root of (14 + 6√5).1. 2 – √52. 3 + √53. 3 – √54. 2 + √5

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