Question

(2√15-√18)(√18+√5)-√90

Answer 1

Ответ:

(2√15-√18)(√18+√5)-√90

(2√15-3√2)*(3√2+√5)-3√10

6√30+10√3-18-3√10-3√10

6√30+10√3-18-6√10

Answer 2

Let's simplify the expression step by step:

Given expression: (2√15 - √18)(√18 + √5) - √90

1. Simplify the individual square roots: √15 = √(3 * 5) = √3 * √5 √18 = √(2 * 3 * 3) = √2 * √3 * √3 = √2 * 3 √5 remains the same √90 = √(2 * 3 * 3 * 5) = √2 * √3 * √3 * √5 = √2 * 3 * √5

2. Substitute the values back into the expression: (2√3 * √5 - √2 * 3)(√2 * 3 + √5) - √2 * 3 * √5

3. Distribute and simplify: (2√3 * √5 * √2 * 3) + (2√3 * √5 * √5) - (√2 * 3 * √2 * 3) - (√2 * 3 * √5) 12√30 + 10√15 - 18 - 3√10

4. Combine like terms: 12√30 + 10√15 - 18 - 3√10

So, the simplified form of the expression is: 12√30 + 10√15 - 18 - 3√10