Finding a Square Root to Solve Problems

By which method can we solve the equation: x²=8 ?

• Factoring

• Square Rooting

Solve by finding square roots. x² + 25 = 0

• x = 5

• x = -5

• x = 5 and -5

• no solution

Solve by taking the square root:

x² = 49

• -7

• 7

• 49

• ±7

Solve by taking the square root:

4x² = 100

• ±10

• ±25

• ±5

• 5

x² -4 = 77

• 9

• -9

• No Real Solutions

• ±9

Solve by taking square roots:
5b² - 4 = 41

• b = 9, b = -9

• b = 3, b = -3

• b = 8, b = -8

• no solutionb

Solve for m.
4m² + 10 = 38

• m = 7, -7

• m = 7

• m = √7

• m = √7, -√7

Solve using square roots.

• ±√9

• ±3

• ±1

• No real solution

Solve by taking the Square Root:

16a² - 9 = 0

• a = ± ³/₄

• a = ± ⁴/₃

• a = ± ⁹/₁₆

• a = ± ¹⁶/₉

• x = 49
• x = 53
• x = 45
• x = 18