Find the smallest number by 675  must be multiplied  to obtain a perfect cube. 

Find the smallest number by 704  must be divided to obtain a perfect cube.

Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such   cuboids will he need to form a cube?

1. If  x = 1 + √2 and Y =  1 –√2 , find the value of ( x² + y² ) .

\(\sqrt{41 - \sqrt{21 +\sqrt{19 - \sqrt{9}}}}\)

1. x * y = x + y +     \(\sqrt{xy}\) , find  the value of 6 * 24   

 The value of √0.01  + √ 0.81 + √ 1.21 + √ 0.0009 is .

Given that √13 = 3.605 and √ 130 = 11.40 , find the value of √ 1.30 + √1300 + √ 0.013 .

1. If    \(\sqrt{1 + \frac{55}{729}}\)  = 1  + \(\frac{x}{27}\) , then find the value of  ‘x’  .

1. If 3 √ 5 + √ 125 = 17.88 then what will be  the value of  √80 + 6 √5  .