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Question 1 of 5
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To simplify √ 108
√ 108 = √ 36 × 3 Factor by finding smaller multiples of 108
= √ 36 × √ 3 Apply the Radical Multiplication Property
= 6 × √ 3 36
= 6 √ 3
Question 2 of 5
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To simplify √ 432
√ 432 = √ 144 × 3 Factor by finding smaller multiples of 432
= √ 144 × √ 3 Apply the Radical Multiplication Property
= 12 × √ 3 144
= 12 √ 3
Question 3 of 5
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First, you can separate the coefficient from the square root.
Next, to simplify √ 200
3 × √ 200 = 3 × √ 100 × 2 Factor by finding smaller multiples of 432
= 3 × √ 100 × √ 2 Apply the Radical Multiplication Property
= 3 × 10 × √ 2 100
= 30 × √ 2
= 30 √ 2
Question 4 of 5
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First, you can separate the coefficient from the square root.
Next, to simplify √ 48
8 × √ 48 = 8 × √ 16 × 3 Factor by finding smaller multiples of 48
= 8 × √ 16 × √ 3 Apply the Radical Multiplication Property
= 8 × 4 × √ 3 16
= 32 × √ 3
= 32 √ 3
Alternatively, you can use other square factors of 48
8 × √ 48 = 8 × √ 4 × 12 4 12 48
= 8 × √ 4 × √ 12 Apply the Radical Multiplication Property
= 8 × 2 × √ 12 4
= 16 × √ 4 × 3 4 3 12
= 16 × √ 4 × √ 3 Apply the Radical Multiplication Property
= 16 × 2 × √ 3 4
= 32 × √ 3
= 32 √ 3
Question 5 of 5
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First, find the largest perfect square that divides evenly into 63 ( 9 )
√ 63 = √ 9 × 7 9
= √ 9 × √ 7 Apply the Multiplication Property
= 9 × √ 7 √ 9 = 3
= 3 √ 7
