The value of [tex]\sqrt{360}[/tex] is 18.974.
Solution:
Given expression:
[tex]\sqrt{360}[/tex]
To simplify the given expression and find the value.
[tex]\sqrt{360}[/tex]
Factor the value 360 = 36 × 10.
[tex]\sqrt{360}=\sqrt{36\times 10}[/tex]
36 can be written as 6 × 6 = 6²
10 can be written as 2 × 5.
[tex]=\sqrt{6^2\times 2\times 5}[/tex]
[tex]=6\sqrt{2\times 5}[/tex]
[tex]=6\sqrt{10}[/tex]
= 18.974
The value of [tex]\sqrt{360}[/tex] is 18.974.
