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Zepler [3.9K]
2 years ago
5

Why is it important to simplify radical expressions before adding or subtracting them?

Mathematics
1 answer:
gayaneshka [121]2 years ago
5 0

Answer:

Radical expressions must be simplified before adding or subtracting so that you are combining “like terms”. In the same way that 2x2 and 3x cannot be combined because they are not like terms, terms involving radicals cannot be combined unless the value under the radical is the same for both terms.

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Can someone help me with this question ? Show steps please
jek_recluse [69]

Answer:

B) \boxed{A_T=108\;in^2}

Step-by-step explanation:

That is a triangular prism and thus, it has two bases that are triangles, in this case, right triangles, whose hypotenuse is 5 in. long and one of its legs is 4 in. and the other one, 3 in.

The first step is to find the area of both bases like this:

A_B=2\left(\dfrac{b\cdot h}{2}\right)=b\cdot h=4\cdot 3\\\\ \boxed{A_B=12\;in^2}

The second step is to get the lateral area, which is compound of three rectangles, hence the process is the following:

A_L=b_1\cdot h_1+b_2\cdot h_2+b_3\cdot h_3\\A_L=8\cdot3+8\cdot4+8\cdot5\\A_L=24+32+40\\\boxed{A_L=96\;in^2}

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A_T=A_B+A_L\\A_T=12+96\\\boxed{A_T=108\;in^2}

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