Simplify. $$ \sqrt{45 z}-\sqrt{20 z} $$ Assume that the variable represents a positive

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Given the expression
$$
\sqrt{45z} - \sqrt{20z},
$$
we can simplify each square root by expressing the numbers under the square root in terms of perfect squares.

1. For $$\sqrt{45z}$$, note that $$45 = 9 \times 5$$. Thus,
   $$
   \sqrt{45z} = \sqrt{9 \times 5z} = \sqrt{9} \sqrt{5z} = 3\sqrt{5z}.
   $$

2. For $$\sqrt{20z}$$, note that $$20 = 4 \times 5$$. Thus,
   $$
   \sqrt{20z} = \sqrt{4 \times 5z} = \sqrt{4} \sqrt{5z} = 2\sqrt{5z}.
   $$

Now, substitute the simplified forms back into the expression:
$$
3\sqrt{5z} - 2\sqrt{5z}.
$$

Since both terms have the common factor $$\sqrt{5z}$$, we combine them by subtracting the coefficients:
$$
(3 - 2)\sqrt{5z} = 1\sqrt{5z} = \sqrt{5z}.
$$

Thus, the simplified expression is
$$
\sqrt{5z}.
$$
$$ \sqrt{5z} $$

Simplify.

Assume that the variable represents a positive

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Simplify. Assume that the variable represents a positive