Mathematics, 17.08.2020 20:01 jaylaa04

Combine the radicals 4V7 +3V28

Answers: 1

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Answer from: mariaaalopezz

The answer is

$10 \sqrt{7}$

Step-by-step explanation:

To solve the radicals make sure that they both have the same radical

That's

$4 \sqrt{7} + 3 \sqrt{28}$

Simplify 3√28 in order to combine the radicals

We have

$3 \sqrt{4 \times 7} = 3 \times \sqrt{4} \times \sqrt{7}$ $= 3 \times 2 \times \sqrt{7}$ $= 6 \sqrt{7}$

So we now have

$4 \sqrt{7} + 6 \sqrt{7}$

Using the rules of surds

That's

$x \sqrt{a } + y \sqrt{a} = (x + y) \sqrt{a}$

Simplify the expression

We have

$4 \sqrt{7} + 6 \sqrt{7 } = (4 + 6) \sqrt{7}$

We have the final answer as

$10 \sqrt{7}$

Hope this helps you

Answer from: adityamahesh2002

Step-by-step explanation:

$4\sqrt{7}+3\sqrt{28}=4\sqrt{7}+3\sqrt{2*2*7}\\\\\\ =4\sqrt{7}+3*2\sqrt{7}\\\\\\= 4\sqrt{7}+6\sqrt{7}\\\\\\=(4+6)\sqrt{7}\\\\\\ =10\sqrt{7}$

Answer from: Quest

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.

Answer from: Quest

60 for the first and 130 for the second

step-by-step explanation:

50 points. in the figure, a square is inside another bigger square. if a = 4 units and b = 3 units,

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Combine the radicals 4V7 +3V28...

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