Question

Find each of the following square roots. (Hint: All examples are perfect squares.)

a. √16
b. √169
c. √64
d. √400

Answer 1

Explanation:

√16 = √4² = 4

√169=√13² = 13

√64 = √8² = 8

√400 = √20² = 20

Answer 2

Explanation:

`√(a)=b\iff b^2=a,\ \text{for}\ a\geq0\ \text{and}\ b\geq0.\\\\a.\ √(16)=4\ \text{because}\ 4^2=16\\\\b.\ √(169)=13\ \text{because}\ 13^2=169\\\\c.\ √(64)=8\ \text{because}\ 8^2=64\\\\d.\ √(400)=20\ \text{because}\ 20^2=400`