Question
Multiply (5√ 19) (6√2) . Give an exact answer.(1 point)
Answers
GPT 3.5
To multiply these two expressions, we can use the associative property of multiplication to rearrange the terms:
(5√19)(6√2) = 5(6)(√19)(√2)
Next, we can simplify the square roots:
(5√19)(6√2) = 5(6)(√(19*2))
Now, we can simplify the product inside the square root:
(5√19)(6√2) = 5(6)(√(38))
Multiplying the constants, we get:
(5√19)(6√2) = 30(√38)
Therefore, the exact answer is 30√38.
(5√19)(6√2) = 5(6)(√19)(√2)
Next, we can simplify the square roots:
(5√19)(6√2) = 5(6)(√(19*2))
Now, we can simplify the product inside the square root:
(5√19)(6√2) = 5(6)(√(38))
Multiplying the constants, we get:
(5√19)(6√2) = 30(√38)
Therefore, the exact answer is 30√38.