Question

Divide, and write the answer in simplest form.

(i) $\sqrt{98}÷\sqrt{2}$ (ii) $\sqrt{125}÷\sqrt{50}$ (iii) $\sqrt{54}÷\sqrt{27}$ (iv) $\sqrt{310}÷\sqrt{5}$

Answer 1

(i) $\sqrt{98}÷\sqrt{2}=\frac{\sqrt{98}}{\sqrt{2}}=\sqrt{\frac{98}{2}}=\sqrt{49}=7$

(ii) $\sqrt{125}÷\sqrt{50}=\frac{\sqrt{125}}{\sqrt{50}}=\sqrt{\frac{125}{50}}=\sqrt{\frac{5}{2}}$

(iii) $\sqrt{54}÷\sqrt{27}=\frac{\sqrt{54}}{\sqrt{27}}=\sqrt{\frac{54}{27}}=\sqrt{2}$

(iv) $\sqrt{310}÷\sqrt{5}=\frac{\sqrt{310}}{\sqrt{5}}=\sqrt{\frac{310}{5}}=\sqrt{62}$