Simplify √ 196. If no answer exists, state “not real.”Simplify √ 196. If no answer exists, state “not real.”

1414

Simplify – √ – 36. If no answer exists, state “not real.”Simplify – √ – 36. If no answer exists, state “not real.”

not realnot real

Simplify √ – 25. If no answer exists, state “not real.”Simplify √ – 25. If no answer exists, state “not real.”

not realnot real

Simplify – √16. If no answer exists, state “not real.”Simplify – √16. If no answer exists, state “not real.”

– 4– 4

Simplify √ 25 + 144. Simplify √ 25 + 144.

1313

Simplify . Simplify . 4 √ 1214 √ 121

√ 36√ 36

223

223

Simplify 2 √ 25 – 16 + √ 81. Simplify 2 √ 25 – 16 + √ 81.

1515

Simplify √ 36(4). Simplify √ 36(4).

1212

Find the consecutive integers between which √ 11 lies.

Find the consecutive integers between which √ 11 lies.

3 and 43 and 4

Find the consecutive integers between which– √ 147 lies.

Find the consecutive integers between which– √ 147 lies.

– 13 and – 12– 13 and – 12

Find the consecutive integers between which √ 36 lies.

Find the consecutive integers between which √ 36 lies.

3 and 43 and 4

33

Find the consecutive integers between which √ – 70 lies.

Find the consecutive integers between which √ – 70 lies.33

– 5 and – 4– 5 and – 4

Estimate √ 21 to the nearest tenth. Estimate √ 21 to the nearest tenth.

4.64.6

Estimate √ 116 to the nearest tenth. Estimate √ 116 to the nearest tenth.

10.810.8

Solve √ x – 5 = – 2. If no answer exists, state “no real solution.”

Solve √ x – 5 = – 2. If no answer exists, state “no real solution.”

x = 9x = 9

Solve √ x = 1.7. If no answer exists, state “no real solution.”

Solve √ x = 1.7. If no answer exists, state “no real solution.”

x = 2.89x = 2.89

Solve 3 √ 2x + 9 = 0. If no answer exists, state “no real solution.”

Solve 3 √ 2x + 9 = 0. If no answer exists, state “no real solution.”

no real solutionno real solution

Solve 2 √ 4x – 3 = 6. If no answer exists, state “no real solution.”

Solve 2 √ 4x – 3 = 6. If no answer exists, state “no real solution.”

x = 3x = 3

Solve. Leave answers in simplified radical form if the radicand is not a perfect square. If no answer exists, state “no real solution.”

Solve. Leave answers in simplified radical form if the radicand is not a perfect square. If no answer exists, state “no real solution.”

Solve x2 + 31 = 112. Solve x2 + 31 = 112.

x = ± 9x = ± 9

Solve 7x2 = 56. Solve 7x2 = 56.

x = ± 2 √ 2x = ± 2 √ 2

Solve x2/3 – 1 = 11Solve x2/3 – 1 = 11

x = ± 6x = ± 6

Solve 4x2 + 12 = 8. Solve 4x2 + 12 = 8.

no real solutionno real solution

If the lengths of the legs of a right triangle are 15 and 8, find the hypotenuse. Simplify irrational roots or round to the nearest tenth.

If the lengths of the legs of a right triangle are 15 and 8, find the hypotenuse. Simplify irrational roots or round to the nearest tenth.

1717

If the lengths of the legs of a right triangle are 5 and 5, find the hypotenuse. Simplify irrational roots or round to the nearest tenth.

If the lengths of the legs of a right triangle are 5 and 5, find the hypotenuse. Simplify irrational roots or round to the nearest tenth.

5 √ 2 ≈ 7.15 √ 2 ≈ 7.1

Given a hypotenuse of 34 and one leg of 30, find the missing leg. Simplify irrational roots or round to the nearest tenth.

Given a hypotenuse of 34 and one leg of 30, find the missing leg. Simplify irrational roots or round to the nearest tenth.

1616

Given a hypotenuse of 6 and one leg of 3, find the missing leg. Simplify irrational roots or round to the nearest tenth.

Given a hypotenuse of 6 and one leg of 3, find the missing leg. Simplify irrational roots or round to the nearest tenth.

3 √ 3 ≈ 5.23 √ 3 ≈ 5.2

Given three side lengths of 10, 25, and 27, determine whether the triangle is a right triangle.

Given three side lengths of 10, 25, and 27, determine whether the triangle is a right triangle.

nono

Given three side lengths of 16, 30, and 34, determine whether the triangle is a right triangle.

Given three side lengths of 16, 30, and 34, determine whether the triangle is a right triangle.

yesyes

Simplify √ 8,100. Simplify √ 8,100.

9090

Simplify √ 250,000. Simplify √ 250,000.

500500

Simplify √ 252. Simplify √ 252.

6 √ 76 √ 7

Simplify √ 80. Simplify √ 80.

4 √ 54 √ 5

Simplify √ 6 √ 30. Simplify √ 6 √ 30.

6 √ 56 √ 5

Simplify 3 √ 10 (2 √ 15). Simplify 3 √ 10 (2 √ 15).

30 √ 630 √ 6

Simplify . Simplify . √ 36√ 2

√ 36√ 2

3 √ 23 √ 2

Simplify . Simplify . 2512125

121

511511

Simplify . Simplify . 3√ 86

3√ 86

√ 2 √ 2

Simplify 7 √ 3 – 3 √ 3 + √ 3 .Simplify 7 √ 3 – 3 √ 3 + √ 3 .

5 √ 35 √ 3

Simplify 9 √ 5 + √ 5 – 6 √ 7 .Simplify 9 √ 5 + √ 5 – 6 √ 7 .

10 √ 5 – 6 √ 710 √ 5 – 6 √ 7

Simplify 2 √ 50 – √ 72 .Simplify 2 √ 50 – √ 72 .

4 √ 24 √ 2

Simplify 3 √ 27 – √ 125 + 2 √ 75 + √ 45.Simplify 3 √ 27 – √ 125 + 2 √ 75 + √ 45.

19 √ 3 – 2 √ 519 √ 3 – 2 √ 5

Find (– 4)3.Find (– 4)3.

– 64– 64

Find 53.Find 53.

125125

Find √ – 1.Find √ – 1.33

– 1 – 1

Find √ 216.Find √ 216.33

66

Find √ 1,331.Find √ 1,331.33

1111

Give the mathematical significance of Revelation 21:16.

Give the mathematical significance of Revelation 21:16.