Question

simplify 3 root 10divide 4root 15​

Answer 1

Answer:

√3/2√2 or √6/4

Step-by-step explanation:

(3√10)/(4√15)

=> (3*√5*√2)/(4*√5*√3)

=> (3√2)/(4√3)

=> (3/√3)/(√2/4)

=> √3/2√2 => √3/2√2 or √6/4

Answer 2

SOLUTION

TO SIMPLIFY

$\displaystyle \sf{ \frac{3 \sqrt{10} }{4 \sqrt{15} } }$

EVALUATION

$\displaystyle \sf{ \frac{3 \sqrt{10} }{4 \sqrt{15} } }$

$\displaystyle \sf{ = \frac{3 \times \sqrt{2} \times \sqrt{5} }{4 \times \sqrt{3} \times \sqrt{5} } }$

$\displaystyle \sf{ = \frac{3 \times \sqrt{2} }{4 \times \sqrt{3} } }$

$\displaystyle \sf{ = \frac{ \sqrt{3} \times \sqrt{3} \times \sqrt{2} }{4 \times \sqrt{3} } }$

$\displaystyle \sf{ = \frac{\sqrt{3} \times \sqrt{2} }{4 } }$

$\displaystyle \sf{ = \frac{\sqrt{3 \times 2} }{4 } }$

$\displaystyle \sf{ = \frac{\sqrt{6} }{4 } }$

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