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3 years ago

Simplify the radical expression. Show all your steps. √363 - 3√27

Mathematics

1 answer:

siniylev [52]3 years ago

3 0

Answer:

2 sqrt(3)

Step-by-step explanation:

Simplify the following:

sqrt(363) - 3 sqrt(27)

sqrt(27) = sqrt(3^3) = 3 sqrt(3):

sqrt(363) - 33 sqrt(3)

sqrt(363) = sqrt(3×11^2) = 11 sqrt(3):

11 sqrt(3) - 3×3 sqrt(3)

-3×3 = -9:

11 sqrt(3) + -9 sqrt(3)

11 sqrt(3) - 9 sqrt(3) = 2 sqrt(3):

Answer: 2 sqrt(3)

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2 years ago

Given: Triangle ABC, AC=BC, AB=3, line segment CD is perpindicular to line segment AB, CD= sqrt 3 find AC

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<h3>What is the length of side AC?</h3>

Based on the given data:

AC=BC
AB=3
line segment CD is perpendicular to line segment AB
CD= sqrt 3

The triangle ABC is an isosceles triangle.

The line segment AC is the hypotenuse of the the triangle ACD.

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