Given that √2 = 1.414, √3 = 1.732, √5 = 2.236 and √7 = 2.646 find the square roots of the following: 256/5

Question

Given that √2 = 1.414, √3 = 1.732, √5 = 2.236 and √7 = 2.646 find the square roots of the following:

(i) 256/5

(ii) 27/50

Answer 1

(i) 256/5

√(256/5) = √(256)/ √(5)

= √(16×16)/ √ (5)

= 16/ (√5)

= 16/2.236

= 7.155

(ii) 27/50

√(27/50) = √(27)/ √(50)

= √(3×3×3)/ √(5×5×2)

= (3√3)/ (5√2)

= (3×1.732)/ (5×1.414)

= 5.196/7.07

= 0.735