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How do you figure out the square root of 7 square root 600

User Nirazlatu
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2 Answers

6 votes

Final answer:

To figure out the square root of 7 square root 600, you need to simplify the expression. First, rewrite 7 square root 600 as 7 * sqrt(600). Next, simplify sqrt(600) by finding its prime factorization: sqrt(600) = sqrt(2 * 2 * 3 * 5 * 5) = 2 * sqrt(3) * 5. Finally, multiply 7 by 2 and 5 to get the final answer: 7 * 2 * sqrt(3) * 5 = 70sqrt(3).

Step-by-step explanation:

To figure out the square root of 7 square root 600, you need to simplify the expression. First, rewrite 7 square root 600 as 7 * sqrt(600). Next, you can simplify sqrt(600) by finding its prime factorization: sqrt(600) = sqrt(2 * 2 * 3 * 5 * 5) = 2 * sqrt(3) * 5. Finally, multiply 7 by 2 and 5 to get the final answer: 7 * 2 * sqrt(3) * 5 = 70sqrt(3).

User Ezra Chu
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7.8k points
4 votes
You might want to use a calculator to calculate sqrt(7):
sqrt(7)= 2.645751311...

sqrt( 600)
= sqrt (100*6)
= sqrt( 100)* sqrt(6)
= 10√(6)

Hope this helps~