simplify (2\sqrt(5-4))(3\sqrt(5+2))
To simplify the expression (2√(5-4))(3√(5+2)), let's break it down step-by-step:
Step 1: Simplify the expressions inside the square roots:
√(5-4) simplifies to √1, which is just 1.
√(5+2) simplifies to √7.
Step 2: Substitute the simplified expressions back into the original expression:
(2 * 1)(3 * √7)
Step 3: Perform the multiplication:
2 * 1 = 2
3 * √7 = 3√7
Step 4: Substitute the results back into the expression:
2 * 3√7
Step 5: Perform the final multiplication:
2 * 3√7 = 6√7
Therefore, the simplified expression is 6√7.
To simplify the expression (2√(5-4))(3√(5+2)), we can start by simplifying each square root factor separately.
Let's start with the first square root factor, √(5-4). Since 5-4 equals 1, we have √1, which simplifies to simply 1.
Now let's simplify the second square root factor, √(5+2). The sum of 5 and 2 is 7, so we have √7.
Now we can substitute the simplified square root factors back into the expression:
(2√(5-4))(3√(5+2)) = (2 * 1)(3 * √7) = 2 * 3 * √7 = 6√7
Therefore, the simplified expression is 6√7.
2√(5-4) * 3√(5+2)
= 2√1 * 3√7
= 6√7