Question

Oblicz. Proszę o pomoc.

Answer 1

Odpowiedź:

[(√2)¹ + √3 * 3¹ - √3/2)]/[⁶√2 * (1/2)⁵⁾³] =

= (2¹⁾² + 3¹⁾² * 3 - 3¹⁾²/2]/{2¹⁾⁶ * 2⁻⁵⁾³) = (2¹⁾² + 3¹ ¹⁾² - 3¹⁾²/2)/(2¹⁾⁶⁻⁵⁾³) =

= (2 * 2¹⁾² + 2 * 3³⁾² - 3¹⁾²)/2 : 2¹⁾⁶⁻¹⁰⁾⁶) = (2¹⁺¹⁾² + 2 * 3³⁾² - 3¹⁾²)/(2 * 2⁻⁹⁾⁶) =

= (2³⁾² + 2 * 3³⁾² - 3¹⁾²)/2⁻³⁾⁶ = (2³⁾² + 2 * 3³⁾² - 3¹⁾²) * 2³⁾⁶ =

= (2³⁾² + 2 * 3³⁾² - 3¹⁾²) * 2¹⁾² = 2³⁾² * 2¹⁾² + 2 * 3³⁾² * 2¹⁾² - 3¹⁾² * 2¹⁾² =

= 2³⁾²⁺¹⁾² + 3³⁾² * 2³⁾² - (3 * 2)¹⁾²  = 2⁴⁾² + (3 *2)³⁾² - 6¹⁾² = 2² + 6³⁾² - 6¹⁾² =

= 4 + √6³ - √6 = 4 + 6√6 - √6 = 4 + 5√6

Answer 2

Odpowiedź w załączniku.