Question

show that the following numbers are rational underroot3 ×under root 12​

Answer 1

Answer:

6

Step-by-step explanation:

root of 3 ×root of 12

we can write 12 as 3×4

then root of 3× root of 3×4

root of 3^2÷4

(we can write 4 as 2^2)

root of 3^2×2^2

then 3×2

6 is the answer

Answer 2

Step-by-step explanation:

$\sqrt{3} \times \sqrt{12}$

Directly multiply the nos :

$= \sqrt{3 \times 12} \\ = \sqrt{36 } \\ = 6$

And 6 is a rational number. Hence proved...