Question Video: Simplifying Fractions Using Properties of Square Roots Mathematics

Express (21√66)/√11 in its simplest form.


Video Transcript

Express 21 root 66 divided by root 11 in its simplest form.

In order to answer this question, we need to use one of the laws of surds. Root 𝑎 divided by root 𝑏 is equal to the root of 𝑎 divided by 𝑏.

In this example, our first step is to divide root 66 by root 11. 66 divided by 11 is equal to six. Therefore, root 66 divided by root 11 is equal to root six.

This means that 21 multiplied by root 66 divided by root 11 is equal to 21 root six or 21 multiplied by root six.

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