Which of the following is a surd according to the definition 'a number left in square root form'?

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Multiple Choice

Which of the following is a surd according to the definition 'a number left in square root form'?

Explanation:
A surd is written with a square root sign rather than being reduced to a whole number. Here, the expression that remains in radical form is the square root of 12. Even though sqrt(12) can be simplified to 2 sqrt(3), it’s still presented as a radical, so it fits the idea of a number left under a square root. The other options are either integers or a number not expressed as a square root (sqrt(4) equals 2, which is not left under the root, and the plain numbers 12 and 4 are rational and not radicals). Thus, the one that fits the given definition is the square root of 12.

A surd is written with a square root sign rather than being reduced to a whole number. Here, the expression that remains in radical form is the square root of 12. Even though sqrt(12) can be simplified to 2 sqrt(3), it’s still presented as a radical, so it fits the idea of a number left under a square root. The other options are either integers or a number not expressed as a square root (sqrt(4) equals 2, which is not left under the root, and the plain numbers 12 and 4 are rational and not radicals). Thus, the one that fits the given definition is the square root of 12.

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