Question

(3√2-2 ) × √2 + 3

calcule as potencias ;√

a; (√15)²

b; (√7+√ 3 )²

c; (3√7)²

d;(3- √7)²

e ; (√2+√3)²

Answer 1

a; (√15)²
√15 * √15 = √225 = 15

b; (√7+√ 3 )² = (√7+√ 3 )(√7+√ 3 ) = √49 + √21 + √21 + √9 = 7 + 2√21 + 3 = 
10 + 2√21


c; (3√7)² =  (3√7)(3√7) = 9√49 = 9*7 = 63

d;(3- √7)² = (3 - √7)(3 - √7) = 9 - 3√7 - 3√7 + √49 = 9 + 7 - 6√7 = 16 - 6√7

e ; (√2+√3)² = (√2+√3)(√2+√3) = √4 + √6 + √6 + √9 = 2 + 2√6 + 3 = 5 + 2√6

Espero ter ajudado!