MindMap Gallery Quadratic radicals - junior high school mathematics
Quadratic radicals - junior high school mathematics, summarized definitions, nature, Meaningful conditions, operations, Simplification, etc., hope it can be helpful to everyone.
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This Valentine's Day map illustrates love through 30 romantic possibilities, from the vintage charm of "handwritten love letters" to the urban landscape of "rooftop sunsets," from the tactile experience of a "pottery workshop" to the leisurely moments of "wine tasting at a vineyard"—offering a unique sense of occasion for every couple. Whether it's cozy, experiential, or luxurious, love always finds the most fitting expression. May you all find the perfect atmosphere for your love story.
The ice hockey schedule for the Milano Cortina 2026 Winter Olympics, featuring preliminary rounds, quarterfinals, and medal matches for both men's and women's tournaments from February 5–22. All game times are listed in Eastern Standard Time (EST).
quadratic radical
definition
Shaped like √a (a≥0)
a can be a real number or an expression.
√a represents the square root operation. When the square root cannot be exhausted, √a is also an operation result.
When judging a quadratic radical, only look at the form and not the result.
b√a: pronounced as b times the root of a, meaning b×√a
nature
double nonnegativity
(√a)²=a(a≥0)
√a²=|a|
meaningful conditions
a≥0
Simplification
step
√a4 b³=√(a2)2·b2·b =a²b√b
Rationalization of the denominator
√n/1=√n/n
The simplest quadratic radical
1. The radicand number does not contain a denominator
2. The radicand number does not include the number that has the perfect square.
Operation
add
reduce
Step
1. Simplify (the simplest quadratic radical)
2. Judgment (merge the radicands with the same terms)
3. Merge (the quadratic radicals remain unchanged, the coefficients are added and subtracted)
take
√a·√b·√c=√abc
a√b·c√d=ac√bd
remove
√a/√b=√a/b