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### High School Mathematics2.54 Types of Radicals

 Simple surd: A surd which consists of a single term is called a simple or monomial surd. Example: Ö3, Ö5, Ö6. Mixed surd: If 'a' is a rational number and Öb is a surd then a+Öb and a-Öb are called mixed surds. Compound Surd: A surd which is the sum or difference of two or more surds called a compound surd. Example: Ö6 + Ö5, Ö3 - 5Ö3. Binomial Surd: A compound surd consisting of two surds is called a binomial surd. Example: Ö6 + Ö5, Ö7 - 5Ö5 Similar Surd: If two surds are different multiples of the same surd, they are called similar surds, otherwise they are dissimilar surds. Example: 3Ö2, 5Ö2, 6Ö2 are similar surds. Directions: Choose the correct answer.
 Q 1: 5Ö6, name the surd. Mixed surdCompound surdSimple surd Q 2: Ö3 - 2Ö 5, name the surd. Similar surdSimple surdCompound surd Q 3: Ö 5 - Ö 3, name the surd.Binomial surdSimilar surdSimple surd Q 4: 7 + Ö3, name the surd. Simple surdSimilar surdMixed surd Q 5: 6 - Ö8, name the surd. Simple surdSimilar surdMixed surd Q 6: 3Ö 2, 5Ö 2, 4Ö 2, name the surds.Binomial surdsMixed surdsSimilar surds Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!