Question

3 root 10 divided by 4 root 15​

Answer 1

Given : 3√10/4√15

To Find : Simplify

Solution:

3√10/4√15

√10 = √(2 x 5)  = √2  x   √5

√15 = √(3 x 5)  = √3  x   √5

3√10/4√15

= ( 3 x √2  x   √5) / ( 4 x  √3  x   √5)

canceling  √5 from numerator and denominator

=   ( 3 x √2   ) / ( 4 x  √3 )

3 = (√3)² = √3  x   √3

=  ( √3  x   √3 x √2   ) / ( 4 x  √3 )

canceling  √3 from numerator and denominator

=  (  √3 x √2   ) / ( 4   )

=  (  √(3 x  2)   ) / 4

= √6 / 4

3√10/4√15 = √6 / 4

Learn More:

3 root 10 divided by 4 root 15​

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