Math, asked by bhavanithaathiraj, 3 months ago

find the value of √576/2025​

Answers

Answered by DaiwikPatel130806
13

Step-by-step explanation:

\sqrt{\frac{576}{2025} } =\frac{\sqrt{576} }{\sqrt{2025} } =\frac{24}{45} =\frac{8}{15}

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Answered by pulakmath007
1

SOLUTION

TO DETERMINE

The value of

 \displaystyle \sf{ \sqrt{ \frac{576}{2025} } }

EVALUATION

Here we have to find the value of

 \displaystyle \sf{ \sqrt{ \frac{576}{2025} } }

Now

 \displaystyle \sf{ \sqrt{ \frac{576}{2025} } }

 \displaystyle \sf{  = \sqrt{ \frac{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 }{5 \times 5 \times 3 \times 3 \times 3 \times 3} } }

 \displaystyle \sf{  = \sqrt{ \frac{ {2}^{2} \times  {2}^{2}  \times  {2}^{2}   \times  {3}^{2}  }{ {5}^{2} \times   {3}^{2}  \times  {3}^{2} } } }

 \displaystyle \sf{  =\frac{ 2 \times 2 \times 2 \times 3  }{ 5 \times 3 \times 3}}

 \displaystyle \sf{  =\frac{ 24  }{ 45}}

 \displaystyle \sf{  =\frac{ 8 }{15}}

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