Question

(√6+√10)*2√2-2√12 как можно упростить?

Answer 1

Раскрывай скобки:

(√6+√10)*2√2-2√12=2√12+2√20-2√12=2√20=4√5...

Answer 2

$(\sqrt{6}+\sqrt{10})2\sqrt{2}-2\sqrt{12}=\\\\=2\sqrt{12}+2\sqrt{20}-2\sqrt{12}=2\sqrt{20}=4\sqrt{5}$

Answer 3

Simplifying the Expression (√6+√10)*2√2-2√12

To simplify the given expression (√6+√10)*2√2-2√12, we can follow these steps:

1. Expand and Simplify the Expression: - First, we expand the expression and then simplify it step by step.

2. Expanding the Expression: - The given expression is (√6+√10)*2√2-2√12.

3. Simplify Step by Step: - We can simplify the expression by applying the distributive property and combining like terms.

- Step 1: Expand the expression: (√6+√10)*2√2-2√12 - Step 2: Apply the distributive property: 2√6*2√2 + 2√10*2√2 - 2√12 - Step 3: Simplify each term: 4√12 + 4√20 - 2√12 - Step 4: Combine like terms: 4√12 - 2√12 + 4√20 - Step 5: Simplify further: 2√12 + 4√20

So, the simplified form of the given expression (√6+√10)*2√2-2√12 is 2√12 + 4√20.

This is the simplified form of the given expression.