Quadratic radical simplification includes three contents:
1, move the completely squared number or formula outside the root sign;
For example: √ 12=√(4×3)=√4×√3=2√3. (prime factorization, the number of factors higher than 2 can be squared),
Such as: √ a2b (a > 0) = a √ B.
2. Name the root number;
For example: √( 1/3)=√(3/9) (making the denominator the square of a factor) =√3/√9=√3/3,
Such as: √ (3/28) = √ [21(2 2× 7 2)] = √ 2114.
3, the denominator is physics and chemistry: remove the root sign in the denominator;
For example:1/√18 =1/(3 √ 2) (denominator is simplified first)
=√2/(3√2*√2) (this means that the denominator is a rational number, and both the numerator and denominator are multiplied by √2).
=√2/6
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