How do you simplify sqrt14-sqrt2/7?

2 Answers
May 21, 2018

sqrt14-(sqrt2)=color(blue)((7sqrt14-sqrt2)/7

Explanation:

Simplify:

sqrt14-(sqrt2)/7

In order to add or subtract fractions, they must have the same denominator; the least common denominator (LCD). The LCD for this expression is 7.

Multiply sqrt14 by 7/7 to get an equivalent fraction with 7 as the denominator. Since 7/7=1, the numbers will change, but the value will remain the same.

sqrt14xx7/7-(sqrt2)/7

Simplify sqrt14xx7/7 to (7sqrt14)/7.

(7sqrt14)/7-sqrt2/7

Combine the numerators.

(7sqrt14-sqrt2)/7

May 21, 2018

sqrt14-sqrt2/7=sqrt2(sqrt7-1/7)

Explanation:

sqrt14-sqrt2/7
=sqrt7*sqrt2-sqrt2/7
=sqrt2(sqrt7-1/7)