Question

Express the following surd in simplest form.

`sqrt(245)`

Answer 1

A surd is said to be in its simplest form when the number under the root sign has no square factors.

Given,

`sqrt(245)`

Prime factors of 245 is 5 × 7 × 7

So, `sqrt(5 xx 7 xx 7) = 7sqrt(5)`

Thus, the simplest form of `sqrt(245)` is `7sqrt(5)`.