Question
Simplify the expression
322h5−28
Evaluate
h5×322−28−0
Use the commutative property to reorder the terms
322h5−28−0
Solution
322h5−28
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Factor the expression
14(23h5−2)
Evaluate
h5×322−28−0
Use the commutative property to reorder the terms
322h5−28−0
Removing 0 doesn't change the value,so remove it from the expression
322h5−28
Solution
14(23h5−2)
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Find the roots
h=2352×234
Alternative Form
h≈0.613565
Evaluate
h5×322−28−0
To find the roots of the expression,set the expression equal to 0
h5×322−28−0=0
Use the commutative property to reorder the terms
322h5−28−0=0
Removing 0 doesn't change the value,so remove it from the expression
322h5−28=0
Move the constant to the right-hand side and change its sign
322h5=0+28
Removing 0 doesn't change the value,so remove it from the expression
322h5=28
Divide both sides
322322h5=32228
Divide the numbers
h5=32228
Cancel out the common factor 14
h5=232
Take the 5-th root on both sides of the equation
5h5=5232
Calculate
h=5232
Solution
More Steps

Evaluate
5232
To take a root of a fraction,take the root of the numerator and denominator separately
52352
Multiply by the Conjugate
523×523452×5234
The product of roots with the same index is equal to the root of the product
523×523452×234
Multiply the numbers
More Steps

Evaluate
523×5234
The product of roots with the same index is equal to the root of the product
523×234
Calculate the product
5235
Reduce the index of the radical and exponent with 5
23
2352×234
h=2352×234
Alternative Form
h≈0.613565
Show Solution
