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How do you simplify #sqrt2 ( sqrt8 + 3)#?

1 Answer

Jun 13, 2015

# color(blue)(4 + 3sqrt2)#

Explanation:

#color(red)(sqrt2) ( sqrt8 + 3)#
Here, we multiply #sqrt2# with each of the terms within the bracket.

# = (color(red)(sqrt2). sqrt8) + (color(red)(sqrt2) . 3)#

# = color(red)(sqrt16) + 3sqrt2#

# = color(blue)(4 + 3sqrt2)#

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