Question

( (4sqrt(3) - 2sqrt(2))(3sqrt(2) + 4sqrt(3))​

Answer 1

Step-by-step explanation:

$(4 \sqrt{3} - 2 \sqrt{2} ) \times (3 \sqrt{2} + 4 \sqrt{3} ) \\ \\ = 4 \sqrt{3} \times (3 \sqrt{2} + 4 \sqrt{3} ) - 2 \sqrt{2} \times (3 \sqrt{2} + 4 \sqrt{3} ) \\ \\ = 12 \sqrt{6} + 48 - 12 - 8 \sqrt{6} \\ \\ = 4 \sqrt{6} + 36 \\ \\ = 4 \sqrt{6} + \sqrt{36} \\ \\ = 4 \sqrt{6} + \sqrt{6} \\ \\ = 5 \sqrt{6}$

Answer 2

The required answer is 4(9 + √6).

Given:

(4√3 - 2√2) × (3√2- 4√3)

To Find:

We need to find the result of the above equation.

Solution:

We have,

(4√3 - 2√2) × (3√2- 4√3)

These types of formations are referred to as surds.

In this case,

We need to multiply the first term of the first part by the whole of the second part and add them.

Next, We need to multiply the second term of the first part by the whole of the second part and add them.

By this, we will get,

(4√3 - 2√2) × (3√2- 4√3)

= [4√3(3√2- 4√3) - 2√2(3√2- 4√3)]

= 12√6 + (16 × 3) - (6 × 2) - 8√6

= 4√6 + 48 - 12

= 4√6 + 36

= 4(9 + √6)

Thus the answer to the above mathematical form is 4(9 + √6).

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