#multiplication and division of radicals
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so
= 5 √4.7/√7?
?
get rid of the sqrt from the denominato sqrt(7)
you can do that by multiplying top and bottom by the denominator
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.
.solved