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can √(1+4x) be written as √4√1+x?
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Answered by
Bosnian
If √4√1+x mean √ 4 ∙ √ ( 1 + x )
then √ ( 1 + 4 x ) can't be written as √ 4 √ ( 1 + x )
For √4 √ (1 + x ) use the product rule for radicals:
√ a ∙ √ b = √ ( a ∙ b )
√4 √ (1 + x ) = √ [ 4 ∙ ( 1 + x ) ] = √ ( 4 ∙ 1 + 4 ∙ x ) = √ ( 4 + 4 x )
That is not √ ( 1 + 4 x )
then √ ( 1 + 4 x ) can't be written as √ 4 √ ( 1 + x )
For √4 √ (1 + x ) use the product rule for radicals:
√ a ∙ √ b = √ ( a ∙ b )
√4 √ (1 + x ) = √ [ 4 ∙ ( 1 + x ) ] = √ ( 4 ∙ 1 + 4 ∙ x ) = √ ( 4 + 4 x )
That is not √ ( 1 + 4 x )
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