Question

(√5+ √8 )в второй степени-√90

Answer 1

5+2√40+8-√90=13+2√10-3√10=13-√10

Answer 2

To simplify the expression (√5 + √8)² - √90, we can follow these steps:

Step 1: Simplify (√5 + √8)² Using the formula (a + b)² = a² + 2ab + b², where a = √5 and b = √8, we can expand the expression as follows: (√5 + √8)² = (√5)² + 2(√5)(√8) + (√8)² = 5 + 2√40 + 8 = 13 + 2√40

Step 2: Simplify √90 √90 can be written as √(9 * 10). Since 9 is a perfect square, we can take it out of the square root: √90 = √(9 * 10) = √9 * √10 = 3√10

Now, we can substitute these values back into the original expression:

(√5 + √8)² - √90 = (13 + 2√40) - 3√10

This is the simplified form of the expression (√5 + √8)² - √90.