How do you simplify $sqrt6 (sqrt5 - sqrt7)$ ?

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Answer 1 · 2018-06-30T23:36:00

$sqrt30-sqrt42$

Recall that $sqrta(sqrtb)=sqrt(a*b)$ . This allows us to simplify this expression as

$sqrt(6*5)-sqrt(6*7)$

$color(blue)(sqrt30)-color(red)(sqrt42)$

There are no perfect squares in $30$ or $42$ , so we can't simplify this any further.

Hope this helps!

How do you simplify sqrt6 (sqrt5 - sqrt7) sqrt6 (sqrt5 - sqrt7) ?