Question

(iv) (2√5 + 3√2)² simplify

Answer 1

Answer:

Using identity

(a + b)² = a² + b² + 2ab

(2√5 + 3√2)²

= (2√5)² + (3√2)² + (2√5)(3√2)

= 20 + 18 + 6√10

=38 + 6 √10

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Answer 2

The simplified form is 38 + 12√10.

Given:

(2√5 + 3√2)².

To Find:

The simplified form of  (2√5 + 3√2)².

Solution:

To find the solution to the given problem, we will use the following identity:

(a + b)² = a² + 2ab + b²

We are given

(2√5 + 3√2)²

Comparing the given expression to the identity above, we have

a = 2√5 and b = 3√2.

⇒ (2√5 + 3√2)² = (2√5)² + 2(2√5)(3√2) + (3√2)² = 20 + 12√10 + 18

⇒ (2√5 + 3√2)² = 38 + 12√10.

Hence the simplified form is 38 + 12√10.

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