How do you simplify 4/sqrt54√5?

1 Answer
Jim G.
Jan 9, 2017

4/5sqrt545√5

Explanation:

We require to color(blue)"rationalise the denominator"rationalise the denominator

To do this, multiply the numerator and denominator by sqrt5√5

"Since " sqrt5xxsqrt5=5" a rational number"since √5×√5=5 a rational number

rArr4/sqrt5=4/sqrt5xxsqrt5/sqrt5=(4sqrt5)/5=4/5sqrt5⇒4√5=4√5×√5√5=4√55=45√5

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