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9 square root of 2 + 6 square root of 2 - 2 square root of 6.

Step-by-step explanation:

Because the square root of 18 can be factored by 9 and 9 can be squared, you multiply 3 by 3 to get 9. This is because the square root of 9 is equal to 3. Then because you took away nine from the square root, you have to divide 18 by 9 to get 2. This means, it will become 9 square root of 2. Next, because the square root of 8 can be factored by 4 and 4 can be squared, you have to do 2x3 to get 6. This is because the square root of 4 is 2. Because you took away the square root of 4 from the square root of 8, you have to divide 8 by 4 to get 2. This means it will become 6 square root of 2. Next, because 24 can be factored by 4 and 4 can be squared, you have to do 4x1 because 1 is multiplied by square root of 24. Then, because you took away square root of 4 from 24, you have to divide 24 by 4 to get 6. Therefore, the simplest radical form is 9 square root of 2 + 6 square root of 2 - 2 square root of 6.

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step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.