Question

find the value of 8√15÷2√3

Answer 1

8√15÷2√3
= 8√15×(1/(2√3))
= (8√5×√3)/(2√3)
= 4√5
solve it

Answer 2

$\sf{ {\dfrac{8{\sqrt{15}}}{2{\sqrt{3}}}}}$


$\sf{\implies {\dfrac{8{\sqrt{5 × 3}}}{2{\sqrt{3}}}}}$


$\sf{\implies {\dfrac{8 × {\sqrt{5}} × {\sqrt{3}}}{2 × {\sqrt{3}}}}}$


$\sf{\implies {\dfrac{(2)^3 × {\sqrt{5}} × {\cancel{{\sqrt{3}}}}}{2 × {\cancel{{\sqrt{3}}}}}}}$


$\sf{\implies {\dfrac{2 × 2 × 2{\sqrt{5}}}{2}}}$


$\sf{\implies {\dfrac{{\cancel{2}} × 2 × 2 {\sqrt{5}}}{{\cancel{2}}}}}$


$\sf\red{\implies 4{\sqrt{5}}}$