4. Найдите значение выражения: 4.1) (√(36a)·√(9b⁵))/√(ab) при a = 9, b = 4; 4.2) (√(36a³)·√(4b))/√(ab) при a = 7, b = 5; 4.3) (√(16a⁵)·√(36b))/√(ab) при a = 4, b = 5; 4.4) (√(25a³)·√(9b))/√(ab) при a = 2, b = 9; 4.5) (√(9a)·√(16b⁵))/√(ab) при a = 5, b = 2.

Question

Вопрос:

Accepted Answer

\(\dfrac{\sqrt{36a}\sqrt{9b^5}}{\sqrt{ab}}=18b^2=18\cdot4^2=288\).
\(\dfrac{\sqrt{36a^3}\sqrt{4b}}{\sqrt{ab}}=12a=12\cdot7=84\).
\(\dfrac{\sqrt{16a^5}\sqrt{36b}}{\sqrt{ab}}=24a^2=24\cdot4^2=384\).
\(\dfrac{\sqrt{25a^3}\sqrt{9b}}{\sqrt{ab}}=15a=15\cdot2=30\).
\(\dfrac{\sqrt{9a}\sqrt{16b^5}}{\sqrt{ab}}=12b^2=12\cdot2^2=48\).

Ответ: 4.1) 288; 4.2) 84; 4.3) 384; 4.4) 30; 4.5) 48.