Question

(2√230-7√20-√45)•2√5​

Answer 1

Ответ:

Объяснение:

(2√230-7√20-√45)•2√5​=(2√230-14√5-3√5)•2√5​=2√230•2√5-14√5•2√5 -3√5•2√5​=4√1150 -140-30=20√46-170

Answer 2

To simplify the given expression, let's break it down step by step:

Expression: (2√230 - 7√20 - √45) • 2√5

Step 1: Simplify the square roots inside the parentheses. √230 can be simplified as √(23 * 10), which is equal to √23 * √10. √45 can be simplified as √(9 * 5), which is equal to 3√5. Therefore, the expression becomes: (2√23 * √10 - 7√20 - 3√5) • 2√5

Step 2: Distribute the 2√5 to each term inside the parentheses. 2√5 * 2√23 * √10 - 2√5 * 7√20 - 2√5 * 3√5

Step 3: Simplify each term. 2 * 2 * √(5 * 23) * √10 - 2 * 7 * √(5 * 20) - 2 * 3 * √(5 * 5) = 4√(115)√10 - 14√(100) - 6√5

Step 4: Simplify the square roots. √10 and √100 are both integers, so we can simplify them: 4 * √(115) * √10 - 14 * 10 - 6√5 = 4√(115) * √10 - 140 - 6√5

Step 5: Multiply the remaining terms. 4√(115 * 10) - 140 - 6√5 = 4√1150 - 140 - 6√5

Thus, the simplified expression is 4√1150 - 140 - 6√5.