Problem 74 Evaluate. \(1^{2}+6^{2}\)... [FREE SOLUTION]

Chapter 9: Problem 74

Evaluate. \(1^{2}+6^{2}\)

Short Answer

Expert verified

The evaluated expression is 37.

Step by step solution

Square the first number

Calculate the square of the first number, which is 1. This means you need to multiply 1 by itself: \(1^2 = 1 \times 1 = 1\).

Square the second number

Now, calculate the square of the second number, which is 6. This means you need to multiply 6 by itself: \(6^2 = 6 \times 6 = 36\).

Add the squared numbers

Add the results of the squares from the previous steps together:\(1 + 36 = 37\).

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Squared Numbers

A squared number is the result you get when you multiply a number by itself. It is a form of exponentiation where the exponent is 2. When you see something like "1 squared," it means you're calculating:
\[1^2 = 1 \times 1 = 1\]
1 is not only a squared number, but also a perfect square because it results in its original form.
When you square a number, you're increasing its value based on its magnitude. For example, when you square 6, you multiply it by itself:
\[6^2 = 6 \times 6 = 36\]
This shows how quickly numbers can grow as they are squared. Squares are used in many areas of math, including geometry and algebra, to calculate areas and more.

Addition

Addition is one of the four basic arithmetic operations, symbolized by the plus sign "+". This operation combines two or more numbers into a single sum. In our exercise, we need to find the sum of two squared numbers.
When you have squared numbers, you perform the addition in a straightforward manner:

The squared result of 1 is 1.
The squared result of 6 is 36.
Add these outcomes together: \(1 + 36\).

The result of this addition is 37. Adding is all about finding the total or complete value. Whether you're adding small numbers or larger ones, the principle remains the same: gather all values into one neat total.

Arithmetic Operations

Arithmetic operations include addition, subtraction, multiplication, and division. These operations form the foundation of all mathematical calculations. In our specific exercise, we focused on squaring (a specific type of multiplication) and addition.
The steps to complete arithmetic operations effectively are to first understand and apply each operation correctly. Our example did this in three steps:

First, square each individual number, treating each operation separately.
Once the squares are calculated, sum them to obtain a final answer.

Understanding how arithmetic operations work allows you to tackle more complex problems. Whether you're working with integers, fractions, or decimals, mastering these operations is key to building strong math skills.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Evaluate. \(1^{2}+6^{2}\)

Short Answer

Step by step solution

Square the first number

Square the second number

Add the squared numbers

Key Concepts

Squared Numbers

Addition

Arithmetic Operations

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Theoretical and Mathematical Physics

Discrete Mathematics

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.