Calculation:

Demi-Leigh Barrera

Answered 2021-08-15
Author has **25105** answers

Answered 2021-12-24
Author has **0** answers

Step 1

Consider the expressions as,

\(\frac{y-3}{\sqrt y+\sqrt3}\)

To simplify the expression, rationalise the denomination and simplify the radical in the denomination

So,

\(\frac{y-3}{\sqrt y+\sqrt3}=\frac{y-3}{\sqrt y+\sqrt 3} \times \frac{\sqrt y-\sqrt 3}{\sqrt y-\sqrt 3}\)

\(=\frac{(y-3)(\sqrt y-\sqrt3)}{(\sqrt y)^2-(\sqrt 3)^2}\)

\(=\frac{(y-3)(\sqrt y-\sqrt 3)}{(y-3)}\)

\(=\sqrt y-\sqrt3\)

Hence, the simplification of the given expression is \(\sqrt y-\sqrt3\)

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