a) √8+√18+√32 First factorize each radical term and then simplify. √8=√2x2x2 =√2 x √2² =2√2 √18=√2x3x3 =√2 x √3² = 3√2 and √32=√2x4x4=√2x√4² = 4√2 We get 2√2+3√2+4√2 Add similar terms. => (2+3+4)√2 =9√2
Answer: 9√2
b)
√98+√50+√72 Factorize each term and then simplify. √98 =√2x7x7 = √2 x √7² = 7√2 √50 = √2x5x5 = √2 x √5² = 5√2 and √72=√2x2x2x3x3 = √2² x √3² x √2 = 2x3 √2=6√2 we get 7√2 + 5√2 + 6√2 Add like terms (7+5+6)√2 = 18√2
Answer: 18√2
c) √108+ √27 + √75 Factorize each term and simplify. √108 = √2x2x3x3x3 = √2² x √3² x √3= 2 x 3 x √3 =6√3 √27= √3x3x3 =√3² x √3 = 3√3 and √75=√3x5x5 = √5² x √3 = 5√3 We get 6√3 + 3√3 + 5√3 Add like terms (6+3+5)√3 =14√3
