
Concept explainers
a.
To determine whether each expression is rational or irrational.
a.

Answer to Problem 92E
Irrational number
Explanation of Solution
Given information:
Expression
Calculation:
Expression
It is irrational because sum of a rational number and irrational number is a irrational number.
b.
To determine whether each expression is rational or irrational.
b.

Answer to Problem 92E
Rational number
Explanation of Solution
Given information:
Expression
Calculation:
Expression
On solving
On solving
It is a rational number
c.
To determine whether each expression is rational or irrational.
c.

Answer to Problem 92E
Irrational number
Explanation of Solution
Given information:
Expression
Calculation:
Expression
It is an irrational number because a rational number divided by an irrational number is an irrational number.
d.
To determine whether each expression is rational or irrational.
d.

Answer to Problem 92E
Irrational number
Explanation of Solution
Given information:
Expression
Calculation:
Expression
It is irrational because sum of an irrational number with another irrational number is a irrational number.
e.
To determine whether each expression is rational or irrational.
e.

Answer to Problem 92E
If
It is rational number
If
It is irrational number
Explanation of Solution
Given information:
Expression
Calculation:
Expression
If
It is rational number
If
It is irrational number
f.
To determine whether each expression is rational or irrational.
f.

Answer to Problem 92E
Explanation of Solution
Given information:
Expression
Calculation:
Expression
If
It is rational number
If
It is irrational number
Chapter 9 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
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- Explain the following terms | (a) linear span (b) dimension of vector space (c) linearly independent (d) linearly dependent (e) rank of matrix Aarrow_forward3. Let u = 3/5 √ = and = -4/5 -() Define V span{ū, }. (a) (b) (c) Show that {u, } is orthonormal and forms a basis for V. Explicitly compute Projy w. Explicitly give a non-zero vector in V+.arrow_forwardIs 1.1 0.65 -3.4 0.23 0.4 -0.44 a basis for R3? You must explain your answer 0arrow_forward
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