Question
Simplify the expression
406h2−112
Evaluate
h2×406−112−0
Use the commutative property to reorder the terms
406h2−112−0
Solution
406h2−112
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Factor the expression
14(29h2−8)
Evaluate
h2×406−112−0
Use the commutative property to reorder the terms
406h2−112−0
Removing 0 doesn't change the value,so remove it from the expression
406h2−112
Solution
14(29h2−8)
Show Solution

Find the roots
h1=−29258,h2=29258
Alternative Form
h1≈−0.525226,h2≈0.525226
Evaluate
h2×406−112−0
To find the roots of the expression,set the expression equal to 0
h2×406−112−0=0
Use the commutative property to reorder the terms
406h2−112−0=0
Removing 0 doesn't change the value,so remove it from the expression
406h2−112=0
Move the constant to the right-hand side and change its sign
406h2=0+112
Removing 0 doesn't change the value,so remove it from the expression
406h2=112
Divide both sides
406406h2=406112
Divide the numbers
h2=406112
Cancel out the common factor 14
h2=298
Take the root of both sides of the equation and remember to use both positive and negative roots
h=±298
Simplify the expression
More Steps

Evaluate
298
To take a root of a fraction,take the root of the numerator and denominator separately
298
Simplify the radical expression
More Steps

Evaluate
8
Write the expression as a product where the root of one of the factors can be evaluated
4×2
Write the number in exponential form with the base of 2
22×2
The root of a product is equal to the product of the roots of each factor
22×2
Reduce the index of the radical and exponent with 2
22
2922
Multiply by the Conjugate
29×2922×29
Multiply the numbers
More Steps

Evaluate
2×29
The product of roots with the same index is equal to the root of the product
2×29
Calculate the product
58
29×29258
When a square root of an expression is multiplied by itself,the result is that expression
29258
h=±29258
Separate the equation into 2 possible cases
h=29258h=−29258
Solution
h1=−29258,h2=29258
Alternative Form
h1≈−0.525226,h2≈0.525226
Show Solution
