Question
Simplify the expression
50010x
Evaluate
(101)3×1×x×51
Any expression multiplied by 1 remains the same
(101)3×x×51
Simplify the root
More Steps

Evaluate
(101)3
Rewrite the expression
1031
To take a root of a fraction,take the root of the numerator and denominator separately
1031
Simplify the radical expression
1031
Simplify the radical expression
More Steps

Evaluate
103
Rewrite the exponent as a sum where one of the addends is a multiple of the index
102+1
Use am+n=am×an to expand the expression
102×10
The root of a product is equal to the product of the roots of each factor
102×10
Reduce the index of the radical and exponent with 2
1010
10101
Multiply by the Conjugate
1010×1010
Multiply the numbers
More Steps

Evaluate
1010×10
When a square root of an expression is multiplied by itself,the result is that expression
10×10
Multiply the numbers
100
10010
10010x×51
Solution
More Steps

Evaluate
10010×51
To multiply the fractions,multiply the numerators and denominators separately
100×510
Multiply the numbers
50010
50010x
Show Solution

Find the roots
x=0
Evaluate
(101)3×1×x×51
To find the roots of the expression,set the expression equal to 0
(101)3×1×x×51=0
Any expression multiplied by 1 remains the same
(101)3×x×51=0
Simplify the root
More Steps

Evaluate
(101)3
Rewrite the expression
1031
To take a root of a fraction,take the root of the numerator and denominator separately
1031
Simplify the radical expression
1031
Simplify the radical expression
More Steps

Evaluate
103
Rewrite the exponent as a sum where one of the addends is a multiple of the index
102+1
Use am+n=am×an to expand the expression
102×10
The root of a product is equal to the product of the roots of each factor
102×10
Reduce the index of the radical and exponent with 2
1010
10101
Multiply by the Conjugate
1010×1010
Multiply the numbers
More Steps

Evaluate
1010×10
When a square root of an expression is multiplied by itself,the result is that expression
10×10
Multiply the numbers
100
10010
10010x×51=0
Multiply the terms
More Steps

Multiply the terms
10010x×51
Multiply the terms
More Steps

Evaluate
10010×51
To multiply the fractions,multiply the numerators and denominators separately
100×510
Multiply the numbers
50010
50010x
50010x=0
Solution
x=0
Show Solution
