Question

Simplify the surds √320=...... *

Answer 1

square root of  is  

Step-by-step explanation:  

Take LCM for 320 then only we get answer easily

LCM of 320 is 2 × 2 × 2 × 2 × 2 × 2 × 5

        ∴  $\sqrt{320}$ = 2×2×2×2×2×2×5 take root of

                       = 2×2×2×5

                       =  $8\sqrt[]{5}$.

By rooting take 1 for 2 similar numbers remaining stays  in root .

∴The square root   $\sqrt{320}$ is $8\sqrt[]{5}$