Holt Algebra 1 Homework and Practice Workbook 1st Edition Chapter 1
Question. Find the square root of √36.
Given:−√36
To find the square root of the given number. We will first resolve the number as the product of primes, then take one factor out of each pair.
Writing the number as a product of primes
−√36=−√2×18
−√36=−√2×2×9
−√36=−√2×2×3×3
So,−√36=−(2×3)
∴−√36=−6
Hence, The square root of−√36 is −6.
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Holt Algebra 1 Homework and Practice Workbook Chapter 1 Exercise 1.5 solutions
Question. Find the square root of √1/49
Given:√1/49
To find the square root of the given number.
We will first resolve the number as the product of primes, then take one factor out of each pair.
First we will find the square root of numerator √1= 1
Now, finding the square root of denominator
Writing the number as product of primes
49=7×7/√49
49 =√7×7
∴√49=7
Thus,√1/49
=√1/7
Hence, the square root of √1/49 is √1/7.
Chapter 1 Exercise 1.5 Answers Holt Algebra 1 Practice Workbook 1st Edition Question. Find the square root of √196
Question. Find the square root of √4/25
Given:−√4/25
To find the square root of the given number.
We will first resolve the number as the product of primes, then take one factor out of each pair.
First we will find the square root of numerator
√4=√2×2
∴√4/=2
Now, finding the square root of denominator
√25=√5×5
∴√25
√25 =5
So,−√4/25=−2/5
Hence, the square root of−√4/25
=−2/5.
Question. A contractor needs to cut a piece of glass to fit a square window. Area of the window is 12 ft2. Find the length of the side of the window to the nearest tenth of a foot and find the square root.
Given: A contractor needs to cut a piece of glass to fit a square window.
The area of the window is 12 ft2.
To find the length of the side of the window to the nearest tenth of a foot.
We will first resolve the number as the product of primes, then take one factor out of each pair.
Since, the area of square window is 12 ft2
To find the length of the side of the window we have to find the square root.
Writing the number as product of primes
√12=√2×2×3
√12=2√3
√12=2×1.732
√12=3.464
To round to the tenths, we need to look at the hundredths
∴√12=3.5
Hence, the length of the side of the window to the nearest tenth of a foot is 3.5 feet.
Step-By-Step Solutions For Exercise 1.5 Chapter 1 Holt Algebra 1 Homework Workbook
Question. A piece of cloth must be cut to exactly cover a square table. The area of the table is 27ft2. Find the length of the side of the table to the nearest tenth of a foot and find the square root.
Given: A piece of cloth must be cut to exactly cover a square table.
The area of the table is 27ft2
To find the length of the side of the table to the nearest tenth of a foot.
We will first resolve the number as the product of primes, then take one factor out of each pair.
Since, the area of table is 27ft2
To find the length of the side of the table we have to find the square root.
Writing the number as product of primes
√27=√3×9
√27=√3×3×3
√27=3√3
√27=3×1.732
∴√27=5.196
To round to the tenths, we need to look at the hundredths
∴√27=5.2
Hence, the length of the side of the table to the nearest tenth of a foot is 5.2 feet.
Examples Of Problems From Exercise 1.5 Chapter 1 In Holt Algebra 1 Workbook
Exercise 1.5 Solutions for Chapter 1 Holt Algebra 1 Homework and Practice Workbook Question. Write all the classifications that apply to √2 is a real number.
Given: √2
To write all the classifications that apply to given real number.
The given number √2 is irrational
Hence, the given number √2 is irrational.
Question. Write all the classifications that apply to 2/3 is a real number.
Given: 2/3
To write all the classifications that apply to given real number.
The given number 2/3 is rational.
Hence, the given number 2/3 is rational.
Common Core Exercise 1.5 Chapter 1 solutions detailed Holt Algebra 1 Practice Workbook 1st Edition
Question. Write all the classifications that apply to 10 is a real number.
Given: 10
To write all the classifications that apply to given real number.
The given number−10 is rational and integer.
Hence, the given number−10 is rational and integer.
Student Edition Chapter 1 Exercise 1.5 Holt Algebra 1 Homework Workbook solutions guide” Question. Write all the classifications that apply to √81 is a real number.
Given: √81
To write all the classifications that apply to given real number.
The given number √81 is rational as the square root of √81 is 9 and it is integer, natural and a whole number also.
Hence, the given number √81 is rational, integer, natural and a whole number.
Question. Write all the classifications that apply to 0 is a real number.
Given: 0
To write all the classifications that apply to given real number.
The given number 0 is rational, integer and whole number.
Hence, the given number 0 is rational, integer and whole number.
Step-by-step answers for Exercise 1.5 Chapter 1 in Holt Algebra 1 HomeworkAnd Practice Workbook
Question. Write all the classifications that apply to 1 is a real number.
Given: 1
To write all the classifications that apply to given real number.
The given number 1 is rational, integer , whole and natural number.
Hence, the given number 1 is rational, whole, integer and natural number.