Question

помогите плиззззз <3​​

Answer 1

$\sqrt{ \dfrac{ { 13 }^{ 2 } - { 12 }^{ 2 } }{ 81 } \phantom{\tiny{!}}} = \sqrt{ \dfrac{ (13-12)(13+12) }{ 81 } \phantom{\tiny{!}}} = \sqrt{ \dfrac{ 1 \times 25 }{ 81 } = \phantom{\tiny{!}}} \sqrt{ \dfrac{ 25 }{ 81 } \phantom{\tiny{!}}} = \dfrac{ 5 }{ 9 } \\\\ \sqrt{ \dfrac{ 101 ^ { 2 } -20 ^ { 2 } }{ 4 } } = \sqrt{ \dfrac{ (101-20)(101+20) }{ 4 } } = \sqrt{ \dfrac{ 81*121 }{ 4 } } = \dfrac{ 99 }{ 2 } = 49 \dfrac { 1 } { 5 }$

$(3 \sqrt{ 2) \phantom{\tiny{!}}} ^ { 2 } -2 \sqrt{ 16 \phantom{\tiny{!}}} +1 = { \left(3 \sqrt{ 2 \phantom{\tiny{!}}} \right) }^{ 2 } -2 \sqrt{ 16 \phantom{\tiny{!}}} +1=3 ^ { 2 } ( \sqrt{ 2 \phantom{\tiny{!}}} ) ^ { 2 } -2 * 4+1=9 * 2-2* 4+1=18-8+1=10+1=11$

${ \left(- \sqrt{ 5 \phantom{\tiny{!}}} \right) }^{ 2 } +4 \sqrt{ 49 \phantom{\tiny{!}}} - \sqrt{ 121 \phantom{\tiny{!}}} =5+4 * 7-11=5+28-11=5+17=22$

${ \left(-2 \sqrt{ 2 \phantom{\tiny{!}}} \right) }^{ 2 } -3 \sqrt{ 64 \phantom{\tiny{!}}} + \sqrt{ 25 \phantom{\tiny{!}}} =4 * 2-3 * 8+5=8-24+5=-11$

$\left( \sqrt{ x \phantom{\tiny{!}}} +1 \right) \left( \sqrt{ x \phantom{\tiny{!}}} -1 \right) -2 \left( x-3 \right) =( \sqrt{ x \phantom{\tiny{!}}} ) ^ { 2 } -1 ^ { 2 } -2(x-3)=x-1-2x+6=-x-1+6=-x+5=5-x$

${ \left( \sqrt{ p \phantom{\tiny{!}}} + \sqrt{ 2 \phantom{\tiny{!}}} \right) }^{ 2 } -(p+2)=( \sqrt{ p \phantom{\tiny{!}}} ) ^ { 2 } +2 \sqrt{ p \phantom{\tiny{!}}} \sqrt{ 2 \phantom{\tiny{!}}} +( \sqrt{ 2 \phantom{\tiny{!}}} ) ^ { 2 } -(p+2)=p+2 \sqrt{ 2 \phantom{\tiny{!}}} p+2-p-2=2 \sqrt{ 2p \phantom{\tiny{!}}}$

Объяснение: