Question
Simplify the expression
100j3−25
Evaluate
5j2×20j−25
Solution
More Steps

Evaluate
5j2×20j
Multiply the terms
100j2×j
Multiply the terms with the same base by adding their exponents
100j2+1
Add the numbers
100j3
100j3−25
Show Solution

Factor the expression
25(4j3−1)
Evaluate
5j2×20j−25
Multiply
More Steps

Evaluate
5j2×20j
Multiply the terms
100j2×j
Multiply the terms with the same base by adding their exponents
100j2+1
Add the numbers
100j3
100j3−25
Solution
25(4j3−1)
Show Solution

Find the roots
j=232
Alternative Form
j≈0.629961
Evaluate
5j2×20j−25
To find the roots of the expression,set the expression equal to 0
5j2×20j−25=0
Multiply
More Steps

Multiply the terms
5j2×20j
Multiply the terms
100j2×j
Multiply the terms with the same base by adding their exponents
100j2+1
Add the numbers
100j3
100j3−25=0
Move the constant to the right-hand side and change its sign
100j3=0+25
Removing 0 doesn't change the value,so remove it from the expression
100j3=25
Divide both sides
100100j3=10025
Divide the numbers
j3=10025
Cancel out the common factor 25
j3=41
Take the 3-th root on both sides of the equation
3j3=341
Calculate
j=341
Solution
More Steps

Evaluate
341
To take a root of a fraction,take the root of the numerator and denominator separately
3431
Simplify the radical expression
341
Multiply by the Conjugate
34×342342
Simplify
34×342232
Multiply the numbers
More Steps

Evaluate
34×342
The product of roots with the same index is equal to the root of the product
34×42
Calculate the product
343
Transform the expression
326
Reduce the index of the radical and exponent with 3
22
22232
Reduce the fraction
More Steps

Evaluate
222
Use the product rule aman=an−m to simplify the expression
22−11
Subtract the terms
211
Simplify
21
232
j=232
Alternative Form
j≈0.629961
Show Solution
