2.09 | Radicals and Complex Numbers | Part 1
Simplify. i^74
-1
Simplify. 3√−8x^24y^36
-2x^8y^12
Simplify. 7i√-75
-35√3
Simplify. 7√35 - 6√72
-8√2
Simplify. i^99
-i
What is the expression in radical form? (4x^3y^2)^3/10
10√64x^9y^6
Simplify. 6√-20
12i√5
Simplify. -6i√-44
12√11
Simplify. 3√-50
15i√2
Simplify. 9√56x^7y^12
18x^3y^6
Simplify. √2 (√6 - √10)
2√3 - 2√5
Simplify. 7√50x^15y^21 Assume x and y are nonnegative
35x^7y^10√2xy
Simplify. 3√27x^15y^24
3x^5y^8√14x
Simplify. (6+7i) (3−4i)
46 - 3i
Simplify. 8√200 - 3√162
53√2
Simplify. √10(√5 + √6)
5√2 + 2√15
Simplify. (7−2i) (8+9i)
74 + 47i
What is the expression in the simplest radical form? √384
8√6
What is the expression in radical form? (5x^4y^3)^2/9
9√25x^8y^6
What is the expression in the simplest radical form? √504
The answer is 6√14 Work through for the answer; √504 504 = 2 ⋅ 2 ⋅ 2 ⋅ 3 ⋅ 3 ⋅ 7 √504 = √2 ⋅ 2 ⋅ 2 ⋅ 3 ⋅ 3 ⋅ 7 = 6√14 So therefore the simplest radical form we can get is 6√14
Multiply. √2 ⋅ √5 ⋅ √11
√110
Multiply. √6 ⋅ √11 ⋅ √5
√330
Multiply. √3 ⋅ √7 ⋅ √17
√357
Multiply. √2 ⋅ √3 ⋅ √13
√78
