Radicals
Answers are for parents and teachers.
1
Simplify 7√5 − 3√5 + 2√3.
4√5 + 2√3.
2
Expand (√7 − 1)(√7 + 4).
7 + 4√7 − √7 − 4 = 3 + 3√7.
3
Find the multiplicative inverse of 4 + √3 with a whole-number denominator.
(4 − √3)/(16 − 3) = (4 − √3)/13.
4
Simplify √45 + √20 − √5.
3√5 + 2√5 − √5 = 4√5.
5
A square has area 48 cm². Write its side in simplest form and its perimeter.
Side = √48 = 4√3 cm. Perimeter = 4 × 4√3 = 16√3 cm.