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10-2 skills practice simplifying radical expressions
10-2 skills practice simplifying radical expressions
1. On simplifying theradical expression√28 the result is 2√7.2. On simplifying theradical expression√40 the result is 2√10.3. On simplifying theradical expression√72 the result is 6√3.4. On simplifying theradical expression√99 the result is 3√11.What is a radical expression?Radical expressionsarealgebraic expressionsinvolvingradicals. Theradical expressionsconsist of therootof analgebraic expression(number, variables, or combination of both). Therootcan be an nth root, a square root, or a cube root.The firstradical expressionis -√28Take the LCM of 28.The LCM is obtained as - 2 × 2 × 7.The number that is repeated twice will be outside thesquare root symbol. The number that is obtained only once should be inside thesquare root symbol.So, the simple form is 2√7.Therefore, theexpressionis 2√7.The secondradical expressionis -√40Take the LCM of 40.The LCM is obtained as - 2 × 2 × 2 × 5.The number that is repeated twice will be outside thesquare root symbol. The number that is obtained only once should be inside thesquare root symbol.So, the simple form is 2√10.Therefore, theexpressionis 2√10.The thirdradical expressionis -√72Take the LCM of 72.The LCM is obtained as - 2 × 2 × 2 × 3× 3.The number that is repeated twice will be outside thesquare root symbol. The number that is obtained only once should be inside thesquare root symbol.So, the simple form is 6√3.Therefore, theexpressionis 6√3.The fourthradical expressionis -√99Take the LCM of 99.The LCM is obtained as - 3 × 3 × 11.The number that is repeated twice will be outside thesquare root symbol. The number that is obtained only once should be inside thesquare root symbol.So, the simple form is 3√11.Therefore, theexpressionis 3√11.To learn more aboutradical expressionfrom the given linkbrainly.com/question/6755932#SPJ4...