Question

please tell answer as soona as possible ​

Answer 1

Answer:

x = 1

Step-by-step explanation:

To solve:

(x - √6) / (√3 + √2) = 3√3 - 4√2

Method to solve:

We can solve for x by transposing.

⇒ x - √6 = (3√3 - 4√2) * (√3 + √2)

To multiply square roots, we multiply the numbers inside the radical. Any numbers outside the radical are also multiplied.

⇒ x - √6 = 9 + 3√6 - 4√6 - 8   (multiplying the 2 binomials)

⇒ x - √6 = (9 - 8) + (3√6 - 4√6)  (adding and subtracting like terms)

⇒ x - √6 = 1 - √6

⇒ x = 1

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Hope it helps!

Given below is a clearer explanation on how to multiply radicals.