Question

Given that √5 = 2.24 and √50= 7.07 , find √500 and √0.5

Answer 1

Answer:

see explanation

Step-by-step explanation:

using the rules of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

$\sqrt{\frac{a}{b} }$ ⇔ $\frac{\sqrt{a} }{\sqrt{b} }$

then

$\sqrt{500}$

= $\sqrt{100(5)}$

= $\sqrt{100}$ × $\sqrt{5}$

= 10 × 2.24

= 22.4

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$\sqrt{0.5}$

= $\sqrt{\frac{50}{100} }$

= $\frac{\sqrt{50} }{\sqrt{100} }$

= $\frac{\sqrt{50} }{10}$

= $\frac{7.07}{10}$

= 0.707