No.
In this case, the word 'vegetable' is being used as an adjective, as it tells you what kind of soap you are describing. The word 'soap' here is a noun.
Squash.
It is usually a noun: Try to include a vegetable in your lunch box. It can also serve as an adjective: We dug some vegetable matter out of the garden.
No. It is a noun (a vegetable/fruit or a ball game). It can be a verb meaning to smash or crush.
Organic is a noun when used as a thing that is made from ingredients from an animal or vegetable source. It is also an adjective to describe a thing made from those ingredients. Examples:As a noun: The organic is the preferred fertilizer for a vegetable garden.As an adjective: My favorite organic shampoo is on sale.
No. In this case vegetable is an adjective describing the type of garden. Garden is just a regular noun.
The adjective for sugar potato is "sweet," as it describes the flavor profile of the vegetable. For tea, the adjective can vary based on the type, but "herbal" or "green" are common descriptors. If you're combining both, you might say "sweet tea" to refer to tea that is sweetened.
"Nutritious" is an adjective. It describes something that provides nourishment or has beneficial qualities for health. For example, you might say, "Spinach is a nutritious vegetable."
"Vegetable" is of Latin origin. The Late Latin adjective vegetabilis meant "invigorating; enlivening" (from the verb vegetare, "to invigorate"). The word came into English via French, where it had the meaning "growing; flourishing".
"Mineral" is either a noun or an adjective. Example as a noun: Calcite is a mineral. Example as an adjective: "Still in matters vegetable, animal, or mineral, I am the very model of a modern major general" (from The Pirates of Penzance).
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Cut it in half and look inside. Do you find any seeds? No. Thus, it is a vegetable.