Simplifying Radicals
sqrt(75)
5sqrt3
x +3 = 13
x = 10
(3x^3+2x^2-4x-8) + (-2x^3+7x^2-2x+1)
(x^3+9x^2-6x-7)
(x+2)(x-1)
x^2+x-2
Is a triangle with side lengths of 3 cm, 4 cm, and 5 cm a right triangle?
Yes. 25 = 25
sqrt169
13
x - 12 = -14
x = -2
(2x^3-6x-10)+(2x^3+2x^2-12x-8)
(4x^3+2x^2-18x-18)
(x+4)(2x+1)
(2x^2+9x+4)
Is a triangle with side lengths of 12 cm, 13 cm, and 5 cm a right triangle?
Yes. 169 = 169
sqrt384
8sqrt6
2x - 4 = x + 2
x = 6
(-2x^3+2x^2-12x+2) - (x^3+x^2-x)
(-3x^3+x^2-11x+2)
(2x-1)(3x-2)
(6x^2-7x+2)
Is a triangle with side lengths of 13 cm, 14 cm, and 25 cm a right triangle?
No. 365 does not equal 625
sqrt160
4sqrt10
-4(2x + 8) = -16
x=-2
(3x^3+2x^2-4x-8) - 2(2x^2-8)
(3x^3-2x^2-4x-8)
(x + 2)(x^3 + 3x^2 + 4x – 17)
x^4 + 5x^3 + 10x^2 – 9x – 34
Find the hypotenuse of a triangle with leg lengths of 5 and 7. Round to the nearest 10th.
Hypotenuse = 8.6
-4sqrt567
-36sqrt7
3/(x+3) =2/(x
x=6
2(3x^3+2x^2-4x-8)-3(x^3+2)+2(x+2)
(3x^3+4x^2-6x-10)
(3x^2 – 9x + 5)(2x^2 + 4x – 7)
6x^4 – 6x^3 – 47x^2 + 83x – 35
What are the lengths of the legs of an isosceles right triangle with a hypotenuse of 16? In simplest radical form and rounded to the nearest 10th.
legs = 11.3 and
8sqrt2