Math Problem Statement

Tentukan hasil operasi berikut dalam bentuk paling sederhana! [Simplify the following operations into their simplest form]

Solution

The image contains several mathematical problems, mainly related to simplifying radical expressions, solving for areas, perimeters, and volumes, as well as rationalizing and simplifying square roots. Here is a transcription and translation (from Indonesian) of the first few problems in the image:

Questions:

  1. Simplify:
    9×1629 \times \sqrt{162}

2

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Math Problem Analysis

Mathematical Concepts

Algebra
Radical Expressions
Square Roots
Triangles (Geometry)
Perimeter and Area
Volume Calculation

Formulas

Simplifying square roots: √(a × b) = √a × √b
Area of a triangle: A = 1/2 × base × height
Perimeter of a triangle: P = a + b + c
Volume of a rectangular prism: V = l × w × h

Theorems

Pythagorean Theorem
Simplification of radicals
Rationalization of fractions with square roots

Suitable Grade Level

Grades 9-11

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