model 2 based on simplification Section-Wise Topic Notes With Detailed Explanation And Example Questions

Answer: (a)

$(√^3{3.5} + √^3{2.5})((√^3{3.5})^2 - √^3{8.75} + (√^3{2.5})^2)$

Let $√^3{3.5} = a$ and $√^3{2.5} = b$

Expression

= (a + b)$(a^2 - ab + b^2) = a^3 + b^3$

= $(√^3{3.5})^3 + (√^3{2.5})^3$

= 3.5 + 2.5 = 6

Answer: (b)

$√^3{1372} × √^3{1458} ÷ √^3{343}$

Expression

= ${√^3{1372}×√^3{1458}}/√^3{343}$

= $√^3{{1372×1458}/343}$

= $√^3{5832}$

= $√^3{18×18×18} = 18$

Answer: (a)

$(√{12} + √{18}) - (√3 + √2)$

$(2√{3} - √{3}) + (3√2 - √2)$

$√{3} + 2√{2}$

Answer: (b)

2 + $√{0.09} - √^3{0.008}$ - 75% of 2.80

Expression

= $2 + √{0.09} - √^3(0.2)^3 - 75% of 2.80$

= $2 + 0.3 - 02 -75/100 × 2.80$

= 2.3 - 0.2 - 2.1

= 2.3 - 2.3 = 0

Answer: (d)

$16^{3/4} = (4^2)^{3/4}$

= $4^{2×3/4} = 4^{3/2} = 2^{2×3/2} = 2^3 = 8$