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