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GB-39-04-001 · Rationalising a single surd

Rationalise the denominator and simplify 511\frac{5}{\sqrt{11}}.

Surds: Rationalising the Denominator (1 Term) Booklet p. 48
Method
1) Multiply top and bottom of the fraction by the surd √p
2) Simplify using √p × √p = p
Worked Example (GB-39-04-001)
Booklet p. 48: Multiply top & bottom by the surd pp\frac{\sqrt{p}}{\sqrt{p}}:
1) Multiply numerator and denominator by 11\sqrt{11}.
2) 51111\frac{5\sqrt{11}}{11}
51111\frac{5\sqrt{11}}{11}