Question
Solve the equation
d=25312
Alternative Form
d≈1.576888
Evaluate
d5×8=78
Use the commutative property to reorder the terms
8d5=78
Divide both sides
88d5=878
Divide the numbers
d5=878
Cancel out the common factor 2
d5=439
Take the 5-th root on both sides of the equation
5d5=5439
Calculate
d=5439
Solution
More Steps

Evaluate
5439
To take a root of a fraction,take the root of the numerator and denominator separately
54539
Multiply by the Conjugate
54×544539×544
Simplify
54×544539×258
Multiply the numbers
More Steps

Evaluate
539×258
Multiply the terms
5312×2
Use the commutative property to reorder the terms
25312
54×54425312
Multiply the numbers
More Steps

Evaluate
54×544
The product of roots with the same index is equal to the root of the product
54×44
Calculate the product
545
Transform the expression
5210
Reduce the index of the radical and exponent with 5
22
2225312
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
25312
d=25312
Alternative Form
d≈1.576888
Show Solution
