#multiplication and division of radicals

10 messages · Page 1 of 1 (latest)

uneven dew
#

im confused on the answer of this, if you simplify it, the answer is
10√7/√7 = 10

spare talonBOT
wheat sapphire
#

start by simplifying it

#

rationalise denominator

uneven dew
#

so
= 5 √4.7/√7?

wheat sapphire
#

?

#

get rid of the sqrt from the denominato sqrt(7)

#

you can do that by multiplying top and bottom by the denominator

woven shale
#

as the numerator is the same as the denominator, the division will be 1. that is, if I have 4x/x = 4. In this case sqrt(7) has both the numerator and the denominator, it is as if it were the term x, in this case it would be 5 * sqrt(4) * sqrt(7) / sqrt(7). Since the numerator values are a multiplication and not an addition, you can divide sqrt(7) into both. Put an x now and you will see the logic. swap x = sqrt(7) => 5 * sqrt(4) * x / x => 5 * 2 = 10.

past zodiac
#

.solved