Question

The expression
0.85 (0.105 + 0.024-0.008)
V
0.022 x 0.25 x 1.7
simplifies to​

Answer 1

1.for making the text look coloured refer the below syntax and ignore the dots

[.tex]\red{the\:text\:appears\:in\:red}[./tex]

result

\red{the\:text\:appears\:in\:red}thetextappearsinred

2.for making the text marquee

[.tex]<marquee>{the\:text\:appears\:like\:this}</marquee>[./tex]

result

= < marquee > {the\:text\:appears\:like\:this} < /marquee > <marquee>thetextappearslikethis</marquee>

3. for making the text look bold

[.tex]\bold{the\:text\: appears\: like\: this }[./tex]

result =

\bold{the\:text\: appears\: like\: this }thetextappearslikethis

4. for showing the exponential value

[.tex]{no.}^{power}[./tex]

result

= {no.}^{power}[ /tex] 5. for showing the square root value [.tex]\sqrt{no.}[./tex] result = $\sqrt{no.}no. </p><p>power</p><p>$5.forshowingthesquarerootvalue[.tex]

no.

[./tex]result=[tex]

no.

\bold{\boxed{thanx}}

thanx

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Answer 2

Step-by-step explanation:

$\bf \underline{Simplify-}$

${\sf \: \: \: \sqrt{ \dfrac{ 0.85×(0.105+0.024-0.008)}{0.022×0.25×1.7}} }$

$\bf \underline{Solution-}$

${ \: \: \: \: \sqrt{ \dfrac{ 0.85×(0.105+0.024-0.008)}{0.022×0.25×1.7}}}$

${ \: \: \: \: \: \implies\sqrt{ \dfrac{ \dfrac{85}{100} \times \left( \dfrac{105}{1000} + \dfrac{24}{1000} - \dfrac{8}{1000} \right)}{ \dfrac{22}{1000} × \dfrac{25}{100} × \dfrac{17}{10} }}}$

${\implies\sqrt{ \dfrac{ \dfrac{85}{100} \times \left( \dfrac{105 + 24 - 8}{1000} \right)}{ \dfrac{22 \times 25 \times 17}{1000 \times 100 \times 10} }}}$

${\implies\sqrt{ \dfrac{ \dfrac{85}{100} \times \dfrac{121}{1000} }{ \dfrac{9350}{1000000} }}}$

${~~~~~~~~~\implies\sqrt{ \dfrac{ \dfrac{10285}{100000} }{ \dfrac{9350}{1000000} }}}$

${~~~~~~~\implies\sqrt{\dfrac{ \cancel{10285}^{935} }{ \cancel{100000}^{1} } \times \dfrac{ \cancel{100000}^{1} \: \: \times 10}{ \cancel{9350} ^{850} } }}$

${~~~~~~~~~~~~~~\implies\sqrt{ \dfrac{ \cancel{9350}^{11} }{ \cancel{850}} }}$

${~~~~~~~~~~~~~~~\implies\sqrt{ 11 }}$

$\rm{{\boxed{Hence, the \: value \: of \: { \sqrt{ \dfrac{ 0.85×(0.105+0.024-0.008)}{0.022×0.25×1.7} } \: is \: \sqrt{11}} }}}$