Question

Question-1 -Is 135 a perfect cube?

Question 2. Find the cube roots of the following:
(a) 1728
(b) 3375 ​

Answer 1

Step-by-step explanation:

Question 1) Is 135 a perfect cube?

The answer: No. Because if we try to take out the cube root of 135 we will get an irrational number.

Question 2) Find the cube roots of the following:

Find the cube roots of the following:(a) 1728

Find the cube roots of the following:(a) 1728 (b) 3375

Your answer:

a)

$= \sqrt[3]{1728}$

$= \sqrt[3]{12 \times 12 \times 12}$

$= \sqrt[3]{(12)^{3} }$

[ cancel the cube root and cube ]

$= 12$

therefore, the cube root of 1728 is 12

b)

[tex] = \sqrt[3]{3375} [/tex]

[tex] = \sqrt[3]{(15)^3} [/tex]

cancel cube root and cube]

[tex] = 15 [/tex]