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timofeeve [1]
3 years ago
12

PLZ HELP FAST plz...1. Simplify. 6/√8 2. Simplify. 5/√11

Mathematics
1 answer:
erik [133]3 years ago
8 0

6/ sqrt(8)=

6/sqrt(8) * sqrt(8)/sqrt(8)

6sqrt(8)/8

3/4 * sqrt(8)

3/4 * sqrt(4*2)

3/4 * sqrt(4) * sqrt(2)

3/4 *2*sqrt(2)

3/2 *sqrt(2)


5/sqrt(11) *sqrt(11)/sqrt(11)

5sqrt(11)/11

5/11 *sqrt(11)

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Since this is a right triangle, the Pythagorean Theorem can be used to find the missing side length. The Pythagorean Theorem is a² + b² = c², where c is the hypotenuse of the triangle.
The error is that the numbers were plugged into the theorem incorrectly - the hypotenuse is the side opposite the right angle (in this case, it is 8 ft). That means the c in a² + b² = c² should be substituted with 8, like so:

a² + b² = c²
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