Write the smallest and greatest among 4th√3,3rd√2,5th√4
Answers
Step-by-step explanation:
These are both simple things you could look up on a chart or on a calculator.
Roots seem like very hard things to understand until you just adjust to the idea that a cube root of 3 is just finding what X is if X^3=3 while the other is asking what is Y if y^4=4.
Before I used my calculator, I thought for about 10 seconds, you are multiplying a number by itself one additional time and getting 1.33 the result, so unless the 2 value are under 1.33 (which I doubted they would be), the cube root of 3 has to be slightly higher.
Turns out the first is 1.4422 and the second is 1.4142, so I was right.
4√4 is greater. Now, I will tell you why or howTake the LCM of 4 and 3 which is 12
of 4 and 3 which is 12Now,Cube root 3=root(3*4)(√3)4Cube root 3=root 12(3*3*3*3)
12(3*3*3*3)Cube root 3=root 12(81)
12(81)Similarly
12(64)Now, we compare the left hand sideSo, root 12(81)>root 12(64)Cube root 3>fourth root 4Thanks.. And hope it will help you.........
This is the equivalent of asking:Which is bigger a x b or c x d where c is bigger than a and d is bigger than b.4 is bigger than 3√4 is bigger than √3Thus the product of two bigger number must be bigger.It is much less obvious which is the bigger of 3√4 or 4√3.To deal with this or similar problems, square them.Thus Which is greater 3√3 or 4√4 becomes 9 x 3 or 16 x 4And Which is greater 3√4 or 4√3 becomes 9 x 4 or 16 x 3.
Let's bring both the Surds under the root, we get :3√3 = √3^2*3 (root over 3 square * 3, or√3*3*3 =√27. And :4√4 = √4^2*4 (root over 4 square * 4), or√4*4*4 = √64 or 8.√64 > √27 or 8 is greater than √27 (approximately 5.2…). Answer.
Answer:
heya dear.....☺️☺️
Step-by-step explanation:
1 》1.31
2 》 1.25
3 》 1.31
so here 1 =3 and 2 is smallest ....
.have a great dayh....☺️☺️