Question
Simplify the expression
10−704H4
Evaluate
10−1×H4×704
Solution
More Steps

Evaluate
1×H4×704
Rewrite the expression
H4×704
Use the commutative property to reorder the terms
704H4
10−704H4
Show Solution

Factor the expression
2(5−352H4)
Evaluate
10−1×H4×704
Multiply the terms
More Steps

Evaluate
1×H4×704
Rewrite the expression
H4×704
Use the commutative property to reorder the terms
704H4
10−704H4
Solution
2(5−352H4)
Show Solution

Find the roots
H1=−44453240,H2=44453240
Alternative Form
H1≈−0.345229,H2≈0.345229
Evaluate
10−1×H4×704
To find the roots of the expression,set the expression equal to 0
10−1×H4×704=0
Multiply the terms
More Steps

Multiply the terms
1×H4×704
Rewrite the expression
H4×704
Use the commutative property to reorder the terms
704H4
10−704H4=0
Move the constant to the right-hand side and change its sign
−704H4=0−10
Removing 0 doesn't change the value,so remove it from the expression
−704H4=−10
Change the signs on both sides of the equation
704H4=10
Divide both sides
704704H4=70410
Divide the numbers
H4=70410
Cancel out the common factor 2
H4=3525
Take the root of both sides of the equation and remember to use both positive and negative roots
H=±43525
Simplify the expression
More Steps

Evaluate
43525
To take a root of a fraction,take the root of the numerator and denominator separately
435245
Simplify the radical expression
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Evaluate
4352
Write the expression as a product where the root of one of the factors can be evaluated
416×22
Write the number in exponential form with the base of 2
424×22
The root of a product is equal to the product of the roots of each factor
424×422
Reduce the index of the radical and exponent with 4
2422
242245
Multiply by the Conjugate
2422×422345×4223
Simplify
2422×422345×410648
Multiply the numbers
More Steps

Evaluate
45×410648
The product of roots with the same index is equal to the root of the product
45×10648
Calculate the product
453240
2422×4223453240
Multiply the numbers
More Steps

Evaluate
2422×4223
Multiply the terms
2×22
Multiply the terms
44
44453240
H=±44453240
Separate the equation into 2 possible cases
H=44453240H=−44453240
Solution
H1=−44453240,H2=44453240
Alternative Form
H1≈−0.345229,H2≈0.345229
Show Solution
