Cube root of any number(6)
- 4. Find a cube root of 70.
³√70=?
Let,
³√70=p & ³√64=q
³√70=³√q+((p-q)/(2*(q)⅔)
=4+((70-64)/(2*(64)⅔))
=4+((6)/(2*((4)³)⅔))
=4+((6)/(2*16))
=4+(6/32)
=4+.1875
³√70=4.1875
- 5. Find a cube root of 4100.
³√4100=?
Let,
³√4100=p & ³√4096=q
³√4100=³√q+((p-q)/(2*(q)⅔)
=16+((4100-4096)/(2*(4096)⅔))
=16+((4)/(2*((16)³)⅔))
=16+((4)/(2*256))
=16+(4/512)
=16+0.0078125
³√4100=16.0078125
- 6. Find a Cube root of 463479.
³√463479=?
³√463*(10)³=³√463 * 10
Let,
³√463=p & ³√512=q
³√463=³√q+((p-q)/(2*(q)⅔)
=8+((463-512)/(2*((8)³)⅔)
=8+((-49)/(2*64))
=8-(49/128)
=8-0.3828
=7.6172
³√463479=7.6172*10
³√463479=76.172
- 7. Find a Cube Root of 41387654.
³√41387654=?
³√41*(10)⁶=³√41 * (10)²
Let,
³√41=p & ³√27=q
³√41=³√q+((p-q)/(2*(q)⅔)
=3+((41-27)/(2*((3)³)⅔)
=3+((14)/(2*9))
=3+(14/18)
=3+0.778
=3.778
³√41387654=3.778*(10)²
³√41387654=377.8