Question
Multiply (start root 5 end root 19 ) (start root 6 end root 2) . Give an exact answer.(1 point)
Answers
GPT 3.5
To multiply the given terms, we can multiply the numbers outside the square roots and multiply the numbers inside the square roots separately.
(start root 5 end root 19 ) = √5 * √19
(start root 6 end root 2) = √6 * √2
Multiplying these expressions together gives us:
(√5 * √19) * (√6 * √2)
= (√5 * √6) * (√19 * √2)
Now, we can simplify each of the square root expressions:
√5 * √6 = √(5 * 6) = √30
√19 * √2 = √(19 * 2) = √38
Therefore, the exact answer is √30 * √38.
(start root 5 end root 19 ) = √5 * √19
(start root 6 end root 2) = √6 * √2
Multiplying these expressions together gives us:
(√5 * √19) * (√6 * √2)
= (√5 * √6) * (√19 * √2)
Now, we can simplify each of the square root expressions:
√5 * √6 = √(5 * 6) = √30
√19 * √2 = √(19 * 2) = √38
Therefore, the exact answer is √30 * √38.