How do you simplify sqrt(150)/5√1505?

1 Answer
Don't Memorise
Jun 28, 2015

=sqrt6=√6

Explanation:

sqrt150/5√1505

sqrt150 =sqrt(15 xx 10) = sqrt (5 xx 3 xx 5 xx 2) = color(green)( 5sqrt6√150=√15×10=√5×3×5×2=5√6

Substituting the same in the expression :
=(color(green)cancel 5sqrt6)/cancel5
=sqrt6

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