Szczegółowe wyjaśnienie:
9.
a) 6√5*√5 = 6*5 = 30
b) √6*4√6 = 6*4 = 24
c) √7*2√7 = 7*2 = 14
d) 2√3*5√3 = 2*5*√3*√3 = 10*3 = 30
e) -4√2*3√2 = -4*3*√2*√2 = -12*2 = -24
f) -3√5*2√5 = -3*2*√5*√5 = -6*5 = -30
10.
a) (4√5)² = 4²*(√5)² = 16*5 = 80
b) (2√6)² = 2²*(√6)² = 4*6 = 24
c) (√7/3)² = (√7)²/3² = 7/9
d) (3√8/2)² = 3²*(√8)²/2² = 9*8/4 = 18
e) (6/√3)² = 6²/(√3)² = 36/3 = 12
f) (3/2√6)² = 3²/(2²*(√6)²) = 9/(4*6) = 9/24 = 3/8
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Szczegółowe wyjaśnienie:
9.
a) 6√5*√5 = 6*5 = 30
b) √6*4√6 = 6*4 = 24
c) √7*2√7 = 7*2 = 14
d) 2√3*5√3 = 2*5*√3*√3 = 10*3 = 30
e) -4√2*3√2 = -4*3*√2*√2 = -12*2 = -24
f) -3√5*2√5 = -3*2*√5*√5 = -6*5 = -30
10.
a) (4√5)² = 4²*(√5)² = 16*5 = 80
b) (2√6)² = 2²*(√6)² = 4*6 = 24
c) (√7/3)² = (√7)²/3² = 7/9
d) (3√8/2)² = 3²*(√8)²/2² = 9*8/4 = 18
e) (6/√3)² = 6²/(√3)² = 36/3 = 12
f) (3/2√6)² = 3²/(2²*(√6)²) = 9/(4*6) = 9/24 = 3/8