(5√5+√30+√125)×√5-√54
Simplify the terms first5√5 × √5 = 5√(5)² = 5 × 5 = 2√30 × √5 = √(30) × √(5) = √(30 × 5) = √15√125 × √5 = √(125) × √(5) = √(125 × 5) = √625 = 25
Putting these back into the equation(25 + √150 + 25) - √54
Combine the terms inside the parentheses50 + √150 - √54
Now simplify √150 and √54√150 = √(25 × 6) = 5√√54 = √(9 × 6) = 3√6
Putting these back into the equation50 + 5√6 - 3√6
Now combine like terms50 + 2√6
So, (5√5+√30+√125)×√5-√54 = 50 + 2√6.
(5√5+√30+√125)×√5-√54
Simplify the terms first
5√5 × √5 = 5√(5)² = 5 × 5 = 2
√30 × √5 = √(30) × √(5) = √(30 × 5) = √15
√125 × √5 = √(125) × √(5) = √(125 × 5) = √625 = 25
Putting these back into the equation
(25 + √150 + 25) - √54
Combine the terms inside the parentheses
50 + √150 - √54
Now simplify √150 and √54
√150 = √(25 × 6) = 5√
√54 = √(9 × 6) = 3√6
Putting these back into the equation
50 + 5√6 - 3√6
Now combine like terms
50 + 2√6
So, (5√5+√30+√125)×√5-√54 = 50 + 2√6.