Simplify \(\sqrt{\frac{(0.0023 \times 750)}{(0.00345 \times 1.25)}}\)
15
20
40
75
Explanation
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Easy way 2 do it...... Change d whole figure to standard form or we can say by shifting the decimal point to the right hand side.so that the power of the numerator and denominator be balance i.e
0.0023 to 23000
750 remain 750
0.00345 to 345
1.25 to 125
Then ₹(23000*750)/(345*125):
Numerator is 17250000
Denominator is 43125.
Wen u divide, u get 400.
Then the square root of ₹400 is 20
√0.0023*750/0.00345*1.25
=√23*10^4*750/34.5*10^4*1.25
Therefore 10^4 will cancel 10^4 now we have
√23*750/34.5*1.25
=√17250/43.125
=√400
=20
0.0023=23*10^-⁴
750=75*10^¹
0.00345=345*10^-5
1.25=125*10^-².
23*10^-⁴*75*10^¹=1725*10^-³
345*10^-5*125*10^-²=43125*10^-7
1725*10^-³/43123*10^-7
1725*10^-³+10^7=1725*10^⁴
17250000/43125=400
√400=20
23*10^-⁴*75*10^¹=1725*10^-³
345*10^-5*125*10^-²=43125*10^-7
1725*10^-³/43123*10^-7
1725*10^-³+10^7=1725*10^⁴
17250000/43125=400
√400=20
its very easy,change d decimal numbers to fraction,divide tru,d final ansa wud b 400,den fnd d squre root of 400 which z 20
