Question

divide 15 √15 by 3√3

Answer 1

Step-by-step explanation:

15 root(15) ÷ 3 root3

5 root(3×5) ÷ root3

5 root3 × root5 ÷ root3

5 root5

Answer 2

While dividing $15 \sqrt{15}$ by $3\sqrt{3}$ we get $5\sqrt{5}$.

Step-by-step explanation:

Given:

The given expression is $15 \sqrt{15}$.

To find:

To divide $15 \sqrt{15}$ by $3\sqrt{3}$

Solution:

The given expression can be written as

$=\frac{15\sqrt{15}}{3\sqrt{3} } }$

$=\frac{5\times3\sqrt{5\times3} }{3\sqrt{3} }$

$=\frac{5\sqrt{5\times3} }{\sqrt{3} }$

Both terms can be solved using the square root, which is written as

$=\frac{5\sqrt{5\time}\times\sqrt{3} }{\sqrt{3} }$

Cancel the numerator and the denominator $\sqrt{3}$

Hence, the solution is $5\sqrt{5}$.

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