Question

Pls help me...
$\sqrt{} (0.40 \times 4 \times a) = 0.004 \times 0.4 \times \sqrt{b} \: \: \: \\ than \: a \div b$
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Answer 1

$\sqrt{} (0.40 \times 4 \times a) = 0.004 \times 0.4 \times \sqrt{b} \: \: \:$

On squering both side we get

$(0.40 \times 4 \times a) = { (\frac{4}{1000} })^{2} \times {0.4}^{2} \times b\: \: \: \\ \frac{a}{b} = \frac{16 \times {10}^{ - 6} \times 16 \times {10}^{ - 2} }{16 \times {10}^{ - 1} } \\ \frac{a}{b} = 16 \times {10}^{ - 7}$

Answer 2

Answer:

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Given : $$\sqrt{0.04\times 0.4 \times a} = 0.4 \times 0.04 \times \sqrt{b} $$

Squaring both the sides :

$$\Rightarrow 0.04 \times 0.4 \times a $$ = $$ (0.4) ^{2} \times (0.04)^{2} \times \sqrt {b}^{2}$$

$$\Rightarrow 0.04 \times 0.4 \times a $$ = $$ (0.4) ^{2} \times (0.04)^{2} \times b$$

$$ \Rightarrow \dfrac{a}{b} = \dfrac {0.4 \times0.4 \times 0.04 \times 0.04 }{0.04 \times 0.4 }$$

$$ \Rightarrow \dfrac{a}{b} =0.4 \times 0.04 $$

$$ \Rightarrow \dfrac{a}{b} = 0.016 $$

The value of $$ \dfrac{a}{b} $$ is $$ 0.016 $$

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