Evaluate 3√40 − √90 − 4√40
Solution
To solve the expression 3√40 - √90 - 4√40, follow these steps:
Step 1: Simplify the terms with the same radicand (√40) 3√40 - 4√40 = -√40
Step 2: Now, substitute the simplified expression back into the original equation -√40 - √90
Step 3: Simplify the square roots √40 = √(410) = √4 * √10 = 2√10 √90 = √(910) = √9 * √10 = 3√10
Step 4: Substitute the simplified square roots back into the equation -2√10 - 3√10 = -5√10
So, 3√40 - √90 - 4√40 = -5√10.
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