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8 votes

(4√(5))/(3√(2) )
Please solve with steps

2 Answers

4 votes

Explanation:


= (4 √(5) )/(3 √(2) )

Calculate the expression...


= (4√(10) )/(6)

Reduce the fraction..


= (2 √(10) )/(3)

User Lolero
by
3.1k points
5 votes

Answer -

  • Given expression -


(4 √(5) )/(3 √(2) ) \\

we're required to rationalise the expression !

therefore , we'll be rationalising the denominator.


(4 √(5) )/(3 √(2) ) * (3 √(2) )/(3 √(2) ) = (12 √(10) )/(18) \\ \\ \implies \: \frac{\cancel6(2 √(10)) }{\cancel{18} } \\ \\ \implies \: (2 √(10) )/(3)

hope this helps !

User Fredkr
by
3.2k points