Simpilfy the radical expression by rationalzing the denoiminator?
3/sqrt15
a)sqrt45/15
b)sqrt15/5
c)5sqrt15***
d)sqrt3
3 / sqrt 15 * (sqrt 15/sqrt 15)
= 3 sqrt 15 /15 = sqrt 15 / 5
Hey , just keep your cool and do them step by step.
Thanks! Neede that
multiply by ... √15 / √15
3 √15 / 15
cancel 3
√15 / 5
To simplify the radical expression 3/sqrt15 and rationalize the denominator, we need to eliminate the square root in the denominator.
To do this, we multiply both the numerator and denominator by the conjugate of the denominator, which is sqrt15.
Thus, the simplified expression becomes:
(3/sqrt15) * (sqrt15/sqrt15)
Multiplying the numerators and denominators, we get:
(3 * sqrt15) / (sqrt15 * sqrt15)
Simplifying further:
3 * sqrt15 / 15
Therefore, the simplified radical expression by rationalizing the denominator is:
c) 5sqrt15