To solve using the extracting the root, apply Square Root Property on both sides to remove ², then always put ± next to the answer.
1.)
x² = 16
√x² = √16
x = ±4
2.)
r² = 81
√r² = √81
r = ±9
3.)
r²-100 = 0
r² = 100
√r² = √100
r = ±10
4.)
x²-144 = 0
x² = 144
√x² = √144
x = ±12
5.)
2x² = 50
2x²/2 = 50/2
x² = 25
√x² = √25
x = ±5
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Verified answer
To solve using the extracting the root, apply Square Root Property on both sides to remove ², then always put ± next to the answer.
1.)
x² = 16
√x² = √16
x = ±4
2.)
r² = 81
√r² = √81
r = ±9
3.)
r²-100 = 0
r² = 100
√r² = √100
r = ±10
4.)
x²-144 = 0
x² = 144
√x² = √144
x = ±12
5.)
2x² = 50
2x²/2 = 50/2
x² = 25
√x² = √25
x = ±5