How do you simplify 11y√3?

2 Answers
David O.
Mar 12, 2018

11y√33

Explanation:

The simplification required is to remove the root from the denominator of the fraction (so that roots are confined to the numerator).

This may be achieved by multiplying by 1 (so that the value of the overall expression is unchanged), but choosing an appropriately constructed expression that evaluates to 1 (noting that anything divided by itself (excluding zero) equals 1).

The specially chosen instance of 1 requires a number in its denominator that will remove the root. This can be achieved by multiplying by something divided by √3, as √3×√3=3. To ensure the complete number is 1, the numerator must also have √3.

So, the required simplification is

11y√3×√3√3

11y√33

mizoo
Mar 12, 2018

11y√3=11y√33

Explanation:

Simplify by rationalizing the denominator:

11y√3×√3√3

=11y×√3(√3)2

=11y√33

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