Multiply (5√19 ) (6√2). Give an exact answer
To solve the multiplication of (5√19) and (6√2), we can simplify as follows:
(5√19) (6√2) = 5 * 6 * √19 * √2
Since √19 and √2 cannot be simplified further, we can multiply the numbers outside the square roots:
5 * 6 = 30
The final answer is then:
30√19√2
However, we can simplify further by multiplying the square roots:
√19 * √2 = √(19 * 2) = √38
Therefore, the exact answer is:
30√38
To multiply (5√19) and (6√2), we can use the distributive property.
First, multiply the numbers outside the square root sign:
5 * 6 = 30
Next, multiply the numbers inside the square root sign:
√19 * √2 = √(19 * 2) = √38
Combining these results, the exact answer is:
30√38
To multiply the expressions (5√19) and (6√2), you can follow these steps:
Step 1: Multiply the coefficients (numbers outside the square root sign).
5 × 6 = 30.
Step 2: Multiply the numbers inside the square root sign.
√19 × √2 = √(19 × 2) = √38.
Step 3: Put everything together.
(5√19)(6√2) = 30√38.
Therefore, the exact answer to the multiplication of (5√19) and (6√2) is 30√38.