# Aptitude - Square Root and Cube Root

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- Square Root and Cube Root - Formulas
- Square Root and Cube Root - General Questions

(.000216)^{1/3} |
= | 216 | 1/3 | ||

10^{6} |

= | 6 x 6 x 6 | 1/3 | ||

10^{2} x 10^{2} x 10^{2} |

= | 6 |

10^{2} |

= | 6 |

100 |

= 0.06

What should come in place of both x in the equation |
x |
= | 162 | . |

128 | x |

Let | x |
= | 162 |

128 | x |

Then *x*^{2} = 128 x 162

= 64 x 2 x 18 x 9

= 8^{2} x 6^{2} x 3^{2}

= 8 x 6 x 3

= 144.

*x* = 144 = 12.

L.C.M. of 21, 36, 66 = 2772.

Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11

To make it a perfect square, it must be multiplied by 7 x 11.

So, required number = 2^{2} x 3^{2} x 7^{2} x 11^{2} = 213444

1.5625 = ?

1|1.5625( 1.25 |1 |------- 22| 56 | 44 |------- 245| 1225 | 1225 |------- | X |-------

1.5625 = 1.25.

If 35 + 125 = 17.88, then what will be the value of 80 + 65 ?

35 + 125 = 17.88

35 + 25 x 5 = 17.88

35 + 55 = 17.88

85 = 17.88

5 = 2.235

80 + 65 = 16 x 5 + 65

= 45 + 65

= 105 = (10 x 2.235) = 22.35