Algebra
Calculus
Trigonometry
Matrix
Question
Calculate the value
222−2
Alternative Form
≈0.45509
Evaluate
2212−2
Simplify the root
More Steps
Evaluate
22
Rewrite the expression
2×2
Simplify the root
48
(481)2−2
Remove the unnecessary parentheses
481×2−2
Multiply the numbers
482−2
Multiply by the Conjugate
48×4832−2×483
Simplify
48×4832−2×2242
Multiply the numbers
More Steps
Evaluate
2−2×2242
Multiply the terms
More Steps
Evaluate
2−2×42
Use na=mnam to expand the expression
4(2−2)2×42
The product of roots with the same index is equal to the root of the product
4(2−2)2×2
Calculate the product
412−82
Use a2−2ab+b2=(a−b)2 to factor the expression
4(22−2)2
Reduce the index of the radical and exponent with 2
22−2
22−2×22
Use the commutative property to reorder the terms
2222−2
48×4832222−2
Multiply the numbers
More Steps
Evaluate
48×483
The product of roots with the same index is equal to the root of the product
48×83
Calculate the product
484
Transform the expression
4212
Reduce the index of the radical and exponent with 4
23
232222−2
Solution
More Steps
Evaluate
2322
Use the product rule aman=an−m to simplify the expression
23−21
Subtract the terms
211
Simplify
21
222−2
Alternative Form
≈0.45509
Show Solution
