Rationalise the denominator and simplify the square root of 15 over the square root of 5

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Evoskuil asked Jan 26, 2023

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45 votes

Rationalise the denominator and simplify the square root of 15 over the square root of 5

Mathematics
high-school

Evoskuil asked Jan 26, 2023

by Evoskuil

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1 Answer

14 votes

Answer:

√(3)

Explanation:

(√(15) )/(√(5) )

to rationalise the denominator multiply numerator/ denominator by
√(5)

=
(√(15) )/(√(5) ) ×
(√(5) )/(√(5) )

=
(√(75) )/(5)

=
(√(25(3)) )/(5)

=
(5√(3) )/(5)

=
√(3)

Stefan Wallin answered Feb 2, 2023

by Stefan Wallin

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