Question

simplify the following

1. (√2+√5)
2. (6+√3) (6-√3)​

Answer 1

Answer:

7

3

Step-by-step explanation:

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Answer 2

Answer:

(i) 2 √ 6 − √ 5 3 √ 5 − 2 √ 6 26−535−26 = 2 √ 6 − √ 5 3 √ 5 − 2 √ 6 26−535−26 x 3 √ 5 + 2 √ 6 3 √ 5 + 2 √ 6 35+2635+26 = 6 √ 3 0 − 15 + 4 √ 3 6 − 2 √ 3 0 45 − 24 630−15+436−23045−24 = 4 √ 3 0 + 9 21 430+921

(ii) 4 √ 3 + 5 √ 2 √ 4 8 + √ 1 8 43+5248+18 = 4 √ 3 + 5 √ 2 4 √ 3 + 3 √ 2 43+5243+32 = 4 √ 3 + 5 √ 2 4 √ 3 + 3 √ 2 43+5243+32 x 4 √ 3 − 5 √ 2 4 √ 3 − 3 √ 2 43−5243−32 = 48 + 20 √ 6 − 12 √ 6 − 30 48 − 18 48+206−126−3048−18 = 18 + 8 √ 6 30 18+8630 = 9 + 4 √ 6 15 9+4615

(iii) 2 √ 3 − √ 5 2 √ 2 + 3 √ 3 23−522+33 = 2 √ 3 − √ 5 2 √ 2 + 3 √ 3 23−522+33 x 2 √ 2 − 3 √ 3 2 √ 2 − 3 √ 3 22−3322−33 = 4 √ 6 − 2 √ 1 0 − 18 + 3 √ 1 5 8 − 27 46−210−18+3158−27 = 18 + 2 √ 1 0 − 4 √ 6 − 3 √ 1 5 19