Algebra Chapter 10 Test Review - Radicals

4

2√(4r) + 3 = 11

3√7 - 9√21 / 26

3√7 / (-1 - √27)

-1

4 - √(3m + 28) = m

48

4√3 = √x

no solution

6 + √(5r/6) = -2

32

6 - √(2y) = -2

192 - 3√21

A rectangle is 5√7 + 2√3 meters long and 6√7 - 3√3 meters wide. Find the area of the rectangle in simplest form.

22√7 - 2√3

A rectangle is 5√7+2√3 meters long and 6√7-3√3 meters wide. Find the perimeter of the rectangle in simplest form.

7.616

Find the distance between (-5, -4) and (-2, 3) Round to the thousandths place.

9.849

Find the distance between (0, 0) and (9, 4) Round to the thousandths place.

11.180

Find the distance between (0, 2) and (5, 12) Round to the thousandths place.

32.388

Find the distance between (2, 24) and (7, 56) Round to the thousandths place.

7.071

Find the distance between (2, 3) and (1, 10) Round to the thousandths place.

4.123

Find the distance between (2, 9) and (1, 5) Round to the thousandths place.

8.602

Find the distance between (4, 8) and (9, 15) Round to the thousandths place.

30

Find the missing measurement: leg: 16 leg: ? hyp: 34

75

Find the missing measurement: leg: 21 leg: 72 hyp: ?

2√62

Find the missing measurement: leg: 29 leg: ? hyp: 33

68

Find the missing measurement: leg: 32 leg: 60 hyp: ?

√97

Find the missing measurement: leg: 4 leg: 9 hyp: ?

8√2

Find the missing measurement: leg: 4 leg: ? hyp: 12

4√15

Find the missing measurement: leg: ? leg: 11 hyp: 19

36

Find the missing measurement: leg: ? leg: 15 hyp: 39

70

Find the missing measurement: leg: ? leg: 240 hyp: 250

2√30 + 30√2

Simplify (4√3 - 2√5)(3√10 + 5√6)

40 - 10√15

Simplify (5 - √15)²

4√3

Simplify (√10 + √6)(√30 - √18)

30√3 - 5√10

Simplify (√2 + 2√8)(3√6 - √5)

36 + 14√6

Simplify (√8 + √12)(√48 + √18)

14√2

Simplify 2√32 + 3√50 - 3√18

14√5

Simplify 2√45 + 4√20

-10√5

Simplify 2√5 - 7√5 - 5√5

12√21 + 20√14

Simplify 2√7(3√12 + 5√8)

(15 + 3√2)/23

Simplify 3 / (5 - √2)

-√10 - 3√3

Simplify 3√10 + √75 - 2√40 - 4√12

90√2

Simplify 3√12 × 5√6

36√6

Simplify 4√3 × 3√18

(5√7 - 5√3) / 4

Simplify 5 / (√7 + √3)

-3√19 + 11√7

Simplify 5√19 + 4√28 - 8√19 + √63

6√2+6√5

Simplify 5√8 + 3√20 - √32

-5√13x

Simplify 7√13x - 14√13x + 2√13x

(12 - 4√3)/3

Simplify 8 / (3 + √3)

4√30

Simplify 8√30 - 4√30

√11/11

Simplify √(1/7) × √(7/11)

3√2x / x²

Simplify √(18/x³)

√5 / 5

Simplify √(2/10)

√15 / 5

Simplify √(3/4) × √(4/5)

6√3

Simplify √108

6|x³|y²√3

Simplify √108x⁶y⁴

2√6

Simplify √24

3√2+13√3

Simplify √27 + √18 + √300

3|x|√3xy

Simplify √27x³y

√6k / 4

Simplify √3k /√8

4√10

Simplify √40 - √10 + √90

-3√10

Simplify √5(5√2 - 4√8)

5x²√2x

Simplify √50x⁵

2|x|y²√14y

Simplify √56x²y⁵

2√15 + 3√10

Simplify √6(√10 + √15)

2√15

Simplify √60

7√2

Simplify √7 × √14

2√3 / 3

Simplify √8 / √6

4√3

Simplify √8 × √6

28

The size of a television is measured by the length of the screen's diagonal. What is the width of a 35 inch television if the height of the screen is 21 inches?

(1.5, 1)

What is the midpoint of (-2, 3) and (5, -1)

(1, -1)

What is the midpoint of (-3, -5) and (5, 3)

(-.5, -1)

What is the midpoint of (0, 2) and (-1, -4)

(-1, 1.5)

What is the midpoint of (1, -2) and (-3, 5)

(2.5, 1)

What is the midpoint of (1, -3) and (4, 5)

(-1.5, -1)

What is the midpoint of (1, -4) and (-4, 2)

(3, 5)

What is the midpoint of (1, 4) and (5, 6)

(-.5, -6)

What is the midpoint of (2, -5) and (-3, -7)

(3.5, 6)

What is the midpoint of (5, 3) and (2, 9)

(2,4)

What is the midpoint of (5, 4) and (-1, 4)

(6,-5)

What is the midpoint of (6, -2) and (6, -8)

(.5, .5)

What is the midpoint of (6, 4) and (-5, -3)

3

y = √(y+6)

-6, 2

√(10p + 61) - 7 = p

8

√(17 - k) = k - 5

-3, 5

√(24 + 8q) = q + 3

77

√(2x + 15) + 5 = 18

60

√(3d/5) - 4 = 2

20

√(3j - 11) + 2 = 9

2

√(4t + 17) - t - 3 = 0

4, 5

√(5m - 16) = m - 2

62

√(6t + 12) = 8√6

98

√(k + 2) - 3 = 7

53

√(m - 5) = 4√3

-4, -3

√(w + 4) = w + 4