Question
Simplify the expression
36h4−801
Evaluate
h4×36−801−0
Use the commutative property to reorder the terms
36h4−801−0
Solution
36h4−801
Show Solution

Factor the expression
9(4h4−89)
Evaluate
h4×36−801−0
Use the commutative property to reorder the terms
36h4−801−0
Removing 0 doesn't change the value,so remove it from the expression
36h4−801
Solution
9(4h4−89)
Show Solution

Find the roots
h1=−24356,h2=24356
Alternative Form
h1≈−2.171863,h2≈2.171863
Evaluate
h4×36−801−0
To find the roots of the expression,set the expression equal to 0
h4×36−801−0=0
Use the commutative property to reorder the terms
36h4−801−0=0
Removing 0 doesn't change the value,so remove it from the expression
36h4−801=0
Move the constant to the right-hand side and change its sign
36h4=0+801
Removing 0 doesn't change the value,so remove it from the expression
36h4=801
Divide both sides
3636h4=36801
Divide the numbers
h4=36801
Cancel out the common factor 9
h4=489
Take the root of both sides of the equation and remember to use both positive and negative roots
h=±4489
Simplify the expression
More Steps

Evaluate
4489
To take a root of a fraction,take the root of the numerator and denominator separately
44489
Simplify the radical expression
More Steps

Evaluate
44
Write the number in exponential form with the base of 2
422
Reduce the index of the radical and exponent with 2
2
2489
Multiply by the Conjugate
2×2489×2
Multiply the numbers
More Steps

Evaluate
489×2
Use na=mnam to expand the expression
489×422
The product of roots with the same index is equal to the root of the product
489×22
Calculate the product
4356
2×24356
When a square root of an expression is multiplied by itself,the result is that expression
24356
h=±24356
Separate the equation into 2 possible cases
h=24356h=−24356
Solution
h1=−24356,h2=24356
Alternative Form
h1≈−2.171863,h2≈2.171863
Show Solution
