1) (2√3 - √153/√17 + 3√125)/2√5= (2√3 - √917 + 3√255) / 2√5= (2√3 - 3√17 + 15√5) / 2√5
2) (√5 + 2√6) × (√5 - 2√6) - √304 / √19 + √1331 / √11= 5 - 2√30 + 4√30 - 12 - √304 / √19 + 121 / √11= -7 + 2√30 - √304 / √19 + 121 / √11= -7 + 2√30 - √(4*76) / √19 + 11√11= -7 + 2√30 - 2√76 / √19 + 11√11
3) √((8.75^3 + 8.75^2) 7.25)= √((681.765625 + 76.5625) 7.25)= √(758.328125 * 7.25)= √5499.80390625= 74.1
4) 0.625 6.75^2 - 3.25^2 0.625 / √3.5^2 + √7 √2.75 + √2.75^2= 0.625 45.5625 - 10.5625 0.625 / 3.5 + √(7 2.75) + 2.75= 28.4765625 - 6.6015625 / 3.5 + √19.25 + 2.75= 21.875 / 3.5 + √19.25 + 2.75= 6.25 + √19.25 + 2.75= 6.25 + √(4.75^2) + 2.75= 6.25 + 4.75 + 2.75= 13.75 + 2.75= 16.5
1) (2√3 - √153/√17 + 3√125)/2√5
= (2√3 - √917 + 3√255) / 2√5
= (2√3 - 3√17 + 15√5) / 2√5
2) (√5 + 2√6) × (√5 - 2√6) - √304 / √19 + √1331 / √11
= 5 - 2√30 + 4√30 - 12 - √304 / √19 + 121 / √11
= -7 + 2√30 - √304 / √19 + 121 / √11
= -7 + 2√30 - √(4*76) / √19 + 11√11
= -7 + 2√30 - 2√76 / √19 + 11√11
3) √((8.75^3 + 8.75^2) 7.25)
= √((681.765625 + 76.5625) 7.25)
= √(758.328125 * 7.25)
= √5499.80390625
= 74.1
4) 0.625 6.75^2 - 3.25^2 0.625 / √3.5^2 + √7 √2.75 + √2.75^2
= 0.625 45.5625 - 10.5625 0.625 / 3.5 + √(7 2.75) + 2.75
= 28.4765625 - 6.6015625 / 3.5 + √19.25 + 2.75
= 21.875 / 3.5 + √19.25 + 2.75
= 6.25 + √19.25 + 2.75
= 6.25 + √(4.75^2) + 2.75
= 6.25 + 4.75 + 2.75
= 13.75 + 2.75
= 16.5