This document contains a math worksheet with multiple problems involving square roots for students to solve. The problems include finding the square root of various numbers, estimating square roots, solving equations with square roots, and calculating square roots using an algorithm and checking with a calculator. The worksheet is divided into two pages and contains problems 1-8.

1. UNIT 02 October
1. Find the square root of:
2. Find:
3. Evaluate, giving a reason:
4. Between which two consecutive integers do the following square roots lie?
5. Use your calculator to find, correct to 2 decimal places:
6. Estimate by trial:
a) √𝟐𝟐𝟐𝟐𝟐𝟐 b) √𝟑𝟑𝟑𝟑𝟑𝟑 c) √𝟒𝟒𝟒𝟒𝟒𝟒 d) √𝟓𝟓𝟓𝟓𝟓𝟓
e) √𝟔𝟔𝟔𝟔𝟔𝟔 f) √𝟖𝟖𝟖𝟖𝟖𝟖 g) √ 𝟏𝟏, 𝟐𝟐𝟐𝟐𝟐𝟐 h) �𝟓𝟓, 𝟑𝟑𝟑𝟑𝟑𝟑
i) √𝟕𝟕𝟕𝟕𝟕𝟕 j) �𝟏𝟏, 𝟓𝟓𝟓𝟓𝟓𝟓 k) √ 𝟔𝟔, 𝟖𝟖𝟖𝟖𝟖𝟖 h) √ 𝟏𝟏𝟏𝟏, 𝟖𝟖𝟖𝟖𝟖𝟖
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.2.4.1

2. UNIT 02 October
7. Solve:
a) √𝟏𝟏𝟏𝟏𝟏𝟏 − √𝟏𝟏𝟏𝟏𝟏𝟏 + √𝟖𝟖𝟖𝟖
b) �𝟒𝟒 ∙ √𝟐𝟐𝟐𝟐 − 𝟓𝟓 ∙ √𝟗𝟗� ÷ 𝟓𝟓
c) √𝟒𝟒𝟑𝟑 − 𝟐𝟐𝟓𝟓 − √𝟓𝟓𝟐𝟐 + 𝟕𝟕
d) ( 𝟖𝟖 − 𝟔𝟔)𝟔𝟔
÷ √𝟒𝟒𝟒𝟒
8. Calculate with the Algorithm and then check with the calculator:
a) √ 𝟏𝟏, 𝟒𝟒𝟒𝟒𝟒𝟒 b) �𝟐𝟐, 𝟎𝟎𝟎𝟎𝟎𝟎 c) �𝟐𝟐, 𝟗𝟗𝟗𝟗𝟗𝟗
d) √ 𝟑𝟑, 𝟗𝟗𝟗𝟗𝟗𝟗 e) √ 𝟐𝟐𝟐𝟐, 𝟏𝟏𝟏𝟏𝟏𝟏 f) √ 𝟏𝟏𝟏𝟏𝟏𝟏, 𝟕𝟕𝟕𝟕𝟕𝟕
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.2.4.2