How do you simplify $sqrty(sqrty-sqrt5)$ ?

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Answer 1 · 2017-01-14T21:46:08

$y - sqrt(5y)$

Use the distributive property: $a(b+c) = ab + ac$

$(sqrt(y))^2 - sqrt(y)sqrt(5)$

$(sqrt(y))^2 = y$ , and since $sqrt(ab) = sqrt(a)sqrt(b)$ , the final result is:

$y - sqrt(5y)$

No further simplification is applicable, since 5 is not a perfect square.

How do you simplify sqrty(sqrty-sqrt5)sqrty(sqrty-sqrt5)?