Simplify square root of 50t^7w^11
The question asks to perform a simplification of the square root expression given. The expression within the square root is "50t^7w^11", and the goal is to express this as simply as possible, presumably in a form where the exponents are reduced to their simplest terms and any perfect squares are factored out of the square root to simplify the expression.
Decompose
Extract
Express
Separate
Represent
Isolate
Reformulate
Rearrange to place
Shift the
Rephrase
Enclose with parentheses to form
Finalize the parentheses as
Extract terms from the radical to get
The problem involves simplifying a radical expression with variables and exponents. The key knowledge points to understand this problem are:
Radical Simplification: The process of simplifying square roots (or other radicals) by factoring out perfect squares and reducing the expression to simplest form.
Exponent Rules: Understanding how to manipulate exponents, particularly when factoring expressions. For example,
Square Roots: Recognizing that the square root of a perfect square, such as
Factoring Numbers: Breaking down numbers into their prime factors, such as
Combining Like Terms: When simplifying expressions, like terms can be combined or factored out to simplify the expression further.
Radical Properties: Knowing that
By applying these principles, the original expression