Question

Simply (3√2+2√3) (3√2-2√3)

Answer 1

Answer:

6 - 6√6

Step-by-step explanation:

(3√2+2√3) (3√2-2√3)

= 3√2 (3√2-2√3) + 2√3(3√2-2√3)

=9(√2²)-12(√2×√3) + 6(√3×√2)-4(√3²)

=9(2) - 12(√6) + 6(√6) - 4(3)

=18 - 12√6 + 6√6 - 12

=6 - 6√6

Answer 2

Solution :-

Basic method :-

→ (3√2+2√3)(3√2-2√3)

using :-

• (a + b)(c + d) = ac + ad + bc + bd .

→ 3√2 * 3√2 + 3√2 * (-2√3) + 2√3 * 3√2 + 2√3 * (-2√3)

→ (3 * 3 * √2 * √2) - (3 * 2 * √2 * √3) + (3 * 2 * √2 * √3) - (2 * 2 * √3 * √3)

→ 3² * (√2)² - 6√6 + 6√6 - 2² * (√3)²

using :-

• (√a)² = a

→ 9 * 2 - 4 * 3

→ 18 - 12

→ 6 (Ans.)

By formula :-

→ (3√2+2√3)(3√2-2√3)

using :-

• (a + b)(a - b) = a² - b²

Let 3√2 = a and 2√3 = b .

so,

→ (a + b)(a - b)

→ (a² - b²)

→ (3√2)² - (2√3)²

→ → 9 * 2 - 4 * 3

→ 18 - 12

→ 6 (Ans.)

Learn more :-

(2+√3)(3√3-5)is equal to

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