Question

Find the square root of the following
i. 9801
ii. 2079.36
iii.$\frac{2\sqrt{1337}}{3844}$
iv.$\frac{\sqrt{59.29}-\sqrt{5.29}}{\sqrt{59.29}+\sqrt{5.29}}$

Answer 1

i) $9801$

if factor $=\sqrt{11\times 11\times 3\times 3\times 3\times 3}$

$=11\times 3\times 3$

$=99$

ii) So, $\sqrt{2079.36}=45.6$ Ref. image

iii) $\sqrt{2\frac{\sqrt{1337}}{3844}}=?$

$\sqrt{2\times \frac{36.5}{3844}}=\sqrt{\frac{36.5}{1922}}=\frac{36.5}{43.84}$

iv) $\frac{\sqrt{59.29}-\sqrt{5.29}}{\sqrt{59.29}+\sqrt{5.29}}\times \frac{\sqrt{59.29}-\sqrt{5.29}}{\sqrt{59.29}-\sqrt{5.29}}$

$=\frac{59.29+5.29-2\sqrt{59.29}\sqrt{5.29}}{(59.29{)}^2-(5.29{)}^2}$

$=\frac{64.58-35.41}{3487.32}=0.00836$

$\sqrt{0.00836}=0.0914$