Question

divide 10 root 15 by 5 root 3​

Answer 1

Answer:

2√5 is the correct answer and mark me as brilliantest

Answer 2

$\displaystyle \sf{ \frac{10 \sqrt{15} }{5 \sqrt{3} } } = 2 \sqrt{5}$

Given :

$\displaystyle \sf{ \frac{10 \sqrt{15} }{5 \sqrt{3} } }$

To find :

To simplify the expression

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is

$\displaystyle \sf{ \frac{10 \sqrt{15} }{5 \sqrt{3} } }$

Step 2 of 2 :

Simplify the given expression

$\displaystyle \sf{ \frac{10 \sqrt{15} }{5 \sqrt{3} } }$

$\displaystyle \sf{ = \frac{10 \sqrt{5 \times 3} }{5 \sqrt{3} } }$

$\displaystyle \sf{ = \frac{10 \times \sqrt{5} \times \sqrt{3} }{5 \sqrt{3} } }$

$\displaystyle \sf{ = \frac{10}{5} \times \frac{ \sqrt{3} }{ \sqrt{3} } \times \sqrt{5} }$

$\displaystyle \sf{ = 2 \times 1 \times \sqrt{5} }$

$\displaystyle \sf{ = 2 \sqrt{5} }$

$\boxed{ \: \: \: \displaystyle \sf{ \frac{10 \sqrt{15} }{5 \sqrt{3} } } = 2 \sqrt{5} \: \: }$

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