This document discusses radical expressions, equations, and solving radical equations. It defines a radical expression as having three parts: the radical sign, the radicand, and the index. An equation is a statement showing the equality of two expressions. Radical equations contain radicals with variables in the radicand. To solve radical equations, one places the radical expression on one side of the equality, raises both sides to the index power to eliminate the radical, then solves and simplifies. Several examples of solving radical equations are provided.
This powerpoint presentation discusses or talks about the topic or lesson Functions. It also discusses and explains the rules, steps and examples of Quadratic Functions.
This powerpoint presentation discusses or talks about the topic or lesson Functions. It also discusses and explains the rules, steps and examples of Quadratic Functions.
This will help you in factoring sum and difference of two cubes.
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This will help you in factoring sum and difference of two cubes.
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Comparative analysis of x^3+y^3=z^3 and x^2+y^2=z^2 in the Interconnected Sets Vladimir Godovalov
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1. WHAT ARETHE PARTS OF A RADICAL
EXPRESSION/S(NOTATION)?
𝑛
𝑎
1. the symbol is the radical sign
2. a is the radicand
3. n is the index
The entire expression is called radical
2. -In mathematics, an equation is a
mathematical statement that
shows the equality of two
expression/s.
What is an equation?
9. To solve radical equations
1. Place the radical expression on one side of the sign of
equality.
2. Raise both sides of the equation to the index power
to eliminate the radical.
3. solve and simplify.
HOW DO WE SOLVE RADICAL EQUATIONS?
10. Example 1 . Find the value of the of the
unknown quantity in the equation
𝒙 − 𝟑 − 𝟔 = 𝟎
1. Place the radical expression on one side of the sign
of equality.
𝒙 − 𝟑 = 𝟔
𝒙 − 𝟑 − 𝟔 = 𝟎
11. 2. Raise both sides of the equation to the
index power to eliminate the radical.
𝒙 − 𝟑 = 𝟔
𝒙 − 𝟑
𝟐
= 𝟔 𝟐
𝒙 − 𝟑 = 𝟑𝟔
16. ASSIGNMENT
Solve the following problem sets. Show your solutions.
1.The square root of 1 more than twice a certain
number is 5. Find the number.
2.The square root of the product of 4 and a
number is 26. Find the number.
3.The square root of 5 more than twice a number
is 7. Find the number.
