please bro solve kr do yaar important hai
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romanreigns35:
nhi
Answers
Answered by
11
Hey.
Here is your answer.
Question : To Prove
![( \sqrt{3 \times {5}^{ - 1} } \div \sqrt[3]{ {3}^{ - 1} } \sqrt{5} ) \times \sqrt[6]{3 \times {5}^{6} } = \frac{3}{5} ( \sqrt{3 \times {5}^{ - 1} } \div \sqrt[3]{ {3}^{ - 1} } \sqrt{5} ) \times \sqrt[6]{3 \times {5}^{6} } = \frac{3}{5}](https://tex.z-dn.net/?f=%28+%5Csqrt%7B3+%5Ctimes+%7B5%7D%5E%7B+-+1%7D+%7D+%5Cdiv+%5Csqrt%5B3%5D%7B+%7B3%7D%5E%7B+-+1%7D+%7D+%5Csqrt%7B5%7D+%29+%5Ctimes+%5Csqrt%5B6%5D%7B3+%5Ctimes+%7B5%7D%5E%7B6%7D+%7D+%3D+%5Cfrac%7B3%7D%7B5%7D+)
We use :
![\sqrt{x} \: = {x}^{ \frac{1}{2} } \\ \\ \sqrt[ x]{y} = \: {y}^{ \frac{1}{x} } \\ \sqrt{x} \: = {x}^{ \frac{1}{2} } \\ \\ \sqrt[ x]{y} = \: {y}^{ \frac{1}{x} } \\](https://tex.z-dn.net/?f=+%5Csqrt%7Bx%7D+%5C%3A+%3D+%7Bx%7D%5E%7B+%5Cfrac%7B1%7D%7B2%7D+%7D+%5C%5C+%5C%5C+%5Csqrt%5B+x%5D%7By%7D+%3D+%5C%3A+%7By%7D%5E%7B+%5Cfrac%7B1%7D%7Bx%7D+%7D+%5C%5C+)
Step wise step solution is attached in the image .
Please check it.
Hope it helps.
Thanks.
Here is your answer.
Question : To Prove
We use :
Step wise step solution is attached in the image .
Please check it.
Hope it helps.
Thanks.
Attachments:

Answered by
3
hii
here
→(√3×5`³ ÷ √3`¹√5)×6√3×5^6=3/5
LHS
→(√3×1/5³÷√1/3√5)×6√3×6√5^6
→{(3)½}/{[(5)³]½} ÷ (1/3)⅓(5)½ × 6√3×5
→(3)^{{½+⅓+√6}}
___________
(5)^{{3/2+½-1}}
......solving powers......
→(3)¹/(5)¹
RHS
→3/5
Hence proved✔✔
↪⭐hope it helps⭐↩
here
→(√3×5`³ ÷ √3`¹√5)×6√3×5^6=3/5
LHS
→(√3×1/5³÷√1/3√5)×6√3×6√5^6
→{(3)½}/{[(5)³]½} ÷ (1/3)⅓(5)½ × 6√3×5
→(3)^{{½+⅓+√6}}
___________
(5)^{{3/2+½-1}}
......solving powers......
→(3)¹/(5)¹
RHS
→3/5
Hence proved✔✔
↪⭐hope it helps⭐↩
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