find the side of square whose diagonal is 25 root 2
Answers
Answer:
9) Sum \: of \: \frac{-8}{19} \:and \: \frac{-4}{57}9)Sumof
19
−8
and
57
−4
= \frac{-8}{19} +\Big( \frac{-4}{57}\Big)=
19
−8
+(
57
−4
)
= \frac{-8}{19} - \frac{4}{57}=
19
−8
−
57
4
= \frac{-24 - 4}{57}=
57
−24−4
= \frac{-28}{57}=
57
−28
Therefore.,
\red{Sum \: of \: \frac{-8}{19} \:and \: \frac{-4}{57}}Sumof
19
−8
and
57
−4
\green { = \frac{-28}{57}}=
57
−28
Option \: \pink{ ( C ) } \: is \: correctOption(C)iscorrect
10) Given \: Rational \: numbers \: \frac{4}{9} , \frac{-5}{6} , \frac{-7}{-12} , \frac{11}{-24}10)GivenRationalnumbers
9
4
,
6
−5
,
−12
−7
,
−24
11
/* L.C.M of the Denominators 9,6,12 and 24 */
L.C.M (9,6,12,24 ) = 72L.C.M(9,6,12,24)=72
\begin{gathered}i) \frac{4}{9} \\= \frac{4\times 8}{9\times 8}\\ = \frac{32}{72}\end{gathered}
i)
9
4
=
9×8
4×8
=
72
32
\begin{gathered}ii) \frac{-5}{6} \\= \frac{-5\times 12}{6\times 12}\\ = \frac{-60}{72}\end{gathered}
ii)
6
−5
=
6×12
−5×12
=
72
−60
\begin{gathered}iii) \frac{-7}{-12} \\= \frac{7\times 6}{12\times 6}\\ = \frac{42}{72}\end{gathered}
iii)
−12
−7
=
12×6
7×6
=
72
42
\begin{gathered}iv) \frac{-11}{24} \\= \frac{-11\times 3}{24\times 3}\\ = \frac{-33}{72}\end{gathered}
iv)
24
−11
=
24×3
−11×3
=
72
−33
Therefore.,
\blue { \frac{-60}{72} \lt \frac{-33}{72} \lt \frac{32}{72 } \lt \frac{ 42}{72} }
72
−60
<
72
−33
<
72
32
<
72
42
\pink {\implies \frac{-5}{6} \lt \frac{-11}{24} \lt \frac{4}{9} \lt \frac{-7}{-12} }⟹
6
−5
<
24
−11
<
9
4
<
−12
−7
Therefore .,
Smallest \: rational \: number = \frac{-5}{6}Smallestrationalnumber=
6
−5
•••♪