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Simplify Radical Expressions

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The algebraic expressions insidethe square root symbol are referred as radical expression whereas the square root symbol is referred as radical. The expressions with radical symbol are defined as the number time itself to the stated expression.The radical symbol present in the expressions can be easily solved by the perform of squaring operations for the given radical expressions. The example radical expression problems are given below for solving. Solving Radical Expressions Below are examples showing how to solve radical expressions by simplification: Example 1 :­ Solve my radical expression. [sqrt(3y­5) = y ­ 1] Solution :­ Given equation is [sqrt(3y­5) = y ­ 1] For solving the radical symbol perform squaring operation on both sides.
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  • Added: November, 17th 2011
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SimplifyRadicalExpressions
Thealgebraicexpressionsinsidethesquarerootsymbolarereferredasradicalexpression
whereasthesquarerootsymbolisreferredasradical.Theexpressionswithradicalsymbolare
definedasthenumbertimeitselftothestatedexpression.Theradicalsymbolpresentinthe
expressionscanbeeasilysolvedbytheperformofsquaringoperationsforthegivenradical
expressions.Theexampleradicalexpressionproblemsaregivenbelowforsolving.
SolvingRadicalExpressions
Belowareexamplesshowinghowtosolveradicalexpressionsbysimplification:
Example1:Solvemyradicalexpression.
[sqrt(3y5)=y1]
Solution:Givenequationis
[sqrt(3y5)=y1]


Forsolvingtheradicalsymbolperformsquaringoperationonbothsides
LearnMoreaboutSimplifyTheExpression

Forsolvingtheradicalsymbolperformsquaringoperationonbothsides
[[sqrt(3y5)]^2=(y1)^2]
Simplifytheaboveequation3y5=y22y+1
Changetheaboveequationinfactorform.y25y+6=0
Theaboveequationisinquadraticequationformresultstwosolutions
y=2andy=3istheanswer.
Example2:Solvemyradicalexpression.[sqrt(y^211y+37)=3]
Solution:Givenequationis
[sqrt(y^211y+37)=3]
Forsolvingtheradicalsymbolperformsquaringoperationonbothsides
[[sqrt(y^211y+37)]^2=(3)^2]
Andsimplify.
y2-11y+37=9


ReadMoreDividingRationalExpressions

Maketheaboveequationinfactorform.y211y+28=0
Theaboveequationisinquadraticequationformresultstwosolutions
y=7andy=4istheanswer.
Example3:Solvemyradicalexpression.
[sqrt(y^210y+25)=1]
Solution:Givenequationis[sqrt(y^210y+25)=1]
Forsolvingtheradicalsymbolperformsquaringoperationonbothsides
[[sqrt(y^210y+25)]^2=(1)^2]
Andsimplify.
y2-10y+25=1
Maketheaboveequationinfactorform.
y210y+24=0
Theaboveequationisinquadraticequationfo
rmresultstwosolutions

y=6andy=4istheanswer.
PracticeProblems
(1)Solvemyradicalexpression.
[sqrt(4y11)=y2]
Answer:y=3andy=5
2)Solvemyradicalexpression.
[sqrt(y^29y+29)=3]
Answer:y=4andy=5.



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