Question

Divide 15 root 15 by 3 root 5

Answer 1

15√15/3√5

5√15/√5

√5.√5.√15/√5

√15.√5

√75

5√3

Answer 2

The answer of division will be 5✓3.

Given - Divider and divisor

Find - Value

Solution - Performing division of given values -

Value = $\frac{15 \sqrt{15} }{3 \sqrt{5} }$

Expanding the root

Value = $\frac{15 \sqrt{5 \times 3} }{3 \sqrt{5} }$

Cancelling common terms in numerator and denominator

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

Value = $5 \sqrt{3}$

Hence, on division we get the value 5✓3.

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