Question

Fully reduce the radical question using prime factorization technique:


`\sqrt250h^4k^5`

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Answer 1

<--> V 250h4k5

√(2 × 5 × 5 × 5) × (h×h×h×

[ take out one of the pair ~]

5 xhxhxkx k√2 × 5 × k

--> 5h2k2✓10k

Answer 2

`{ \qquad\qquad\huge\underline{{\sf Answer}}}`

Here we go ~

`\qquad \sf  \dashrightarrow \: \sqrt{250 {h}^(4) {k}^(5) }`

`\qquad \sf  \dashrightarrow \: √((2 * 5 * 5 * 5) * (h * h * h * h )* (k * k * k * k * k) )`

[ take out one of the pair ~ ]

`\qquad \sf  \dashrightarrow \: 5 * h * h * k * k √(2 * 5 * k)`

`\qquad \sf  \dashrightarrow \: 5 {h}^(2) {k}^(2) √(10k)`

That's our simplified answer ~