Question
Solve the equation
h=2312
Alternative Form
h≈1.144714
Evaluate
h2×2h=3
Multiply
More Steps

Evaluate
h2×2h
Multiply the terms with the same base by adding their exponents
h2+1×2
Add the numbers
h3×2
Use the commutative property to reorder the terms
2h3
2h3=3
Divide both sides
22h3=23
Divide the numbers
h3=23
Take the 3-th root on both sides of the equation
3h3=323
Calculate
h=323
Solution
More Steps

Evaluate
323
To take a root of a fraction,take the root of the numerator and denominator separately
3233
Multiply by the Conjugate
32×32233×322
Simplify
32×32233×34
Multiply the numbers
More Steps

Evaluate
33×34
The product of roots with the same index is equal to the root of the product
33×4
Calculate the product
312
32×322312
Multiply the numbers
More Steps

Evaluate
32×322
The product of roots with the same index is equal to the root of the product
32×22
Calculate the product
323
Reduce the index of the radical and exponent with 3
2
2312
h=2312
Alternative Form
h≈1.144714
Show Solution
