Simplify the expression: `(2sqrt(3)sqrt(36))` 2 square root 3 square root 36
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calendarEducator since 2012
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As user durbanville says, a square root can have a negative or positive result.
So `2sqrt(3)sqrt(36) = 2(-sqrt(3))(-sqrt(36))` or `2(-sqrt(3))(+sqrt(36))` or `2(+sqrt(3))(-sqrt(36))` or `2(+sqrt(3))(+sqrt(36))`
Now `sqrt(36) = sqrt(6^2) = (6^2)^(1/2) = 6^(2(1/2)) = 6`
So `2sqrt(3)sqrt(36) = +2(6)sqrt(3)` or `-2(6)sqrt(3)` or `-2(6)sqrt(3)` or `+2(6)sqrt(3)`
Only two of these are unique so
`2sqrt(3)sqrt(36) = +2(6)sqrt(3)` or `-2(6)sqrt(3)`
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calendarEducator since 2012
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`2sqrt(3) sqrt(36)` is not an equation so you can only simplify it. To be an equation, it would have an equal sign (=) and a variable (such as 'x' to solve).
`2sqrt(3) sqrt(36)` A square root can have a negtive or positive result
= `2sqrt3. 6` or `2sqrt(3) (-6)`
= `12sqrt(3)` or `-12sqrt(3)`