Maths-
General
Easy
Question
Rewrite expression to remove perfect square factors other than 1 in radicand. √108
The correct answer is: The given expression 2√21 is after removing all perfect square factors other than 1
Hint:-
A radical expression refers to an expression containing a radical (√) symbol, commonly called as a root symbol.
A perfect square refers to a number that can be expressed as the product of an integer by itself.
We will simplify the given expressions, removing all the perfect square factors from under the radical sign.
"Step-by-step solution:-
Given expression = 2√21
∴ Given expression = 2
Step-by-step solution:-
Given expression = 2√21
∴ Given expression = 2 × √(3 × 7) ….......................... (Factorizing the term inside the radical)
Since none of the above factors of the number 21 can be expressed as the product of an integer by itself, the given expression 2√21 is in the simplest form.
√(3 × 7) ….......................... (Factorizing the term inside the radical)
Since none of the above factors of the number 21 can be expressed as the product of an integer by itself, the given expression 2√21 is in the simplest form.
Final Answer:-
∴ The given expression 2√21 is after removing all perfect square factors other than 1.
Related Questions to study
General
Select the word which matches the picture
Select the word which matches the picture
GeneralGeneral
Maths-
Maths-General
General
What is the definition of complete predicate?
What is the definition of complete predicate?
GeneralGeneral
Maths-
Rewrite expression to remove perfect square factors other than 1 in radicand. √(32x) . √(72x8)
Rewrite expression to remove perfect square factors other than 1 in radicand. √(32x) . √(72x8)
Maths-General
Maths-
Rewrite expression to remove perfect square factors other than 1 in radicand. 2√21
Rewrite expression to remove perfect square factors other than 1 in radicand. 2√21
Maths-General
General
Fill in the blank with suitable word
The doctor’s writing was __________;no one could read those scribbles.
Fill in the blank with suitable word
The doctor’s writing was __________;no one could read those scribbles.
GeneralGeneral
Maths-
Rewrite expression to remove perfect square factors other than 1 in radicand. √98x8
Rewrite expression to remove perfect square factors other than 1 in radicand. √98x8
Maths-General
Maths-
Thato is solving the absolute value equation . What is the first step he should take?
Thato is solving the absolute value equation . What is the first step he should take?
Maths-General
General
The synonym of exchange is
The synonym of exchange is
GeneralGeneral
Maths-
Rewrite expression to remove perfect square factors other than 1 in radicand. √200x3
Rewrite expression to remove perfect square factors other than 1 in radicand. √200x3
Maths-General
General
The synonym of problems
The synonym of problems
GeneralGeneral
General
The synonym of Gift is
The synonym of Gift is
GeneralGeneral
Maths-
Rewrite expression to remove perfect square factors other than 1 in radicand. 4x2y √(2x4y6)
Rewrite expression to remove perfect square factors other than 1 in radicand. 4x2y √(2x4y6)
Maths-General
General
The synonym for Alert is
The synonym for Alert is
GeneralGeneral
Maths-
What is the value of x in
What is the value of x in
Maths-General