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).