Simplifying Non Perfect Radicals

√x¹⁵

• x^7.5

• x⁷

• x⁷√x

• x¹⁵

Simplify.
√m⁸n3

• √m⁴n²

• m⁴n²√n

• m²n√n

• m⁴n√n

Which is equivalent to √⅝

• √5 × √8

• 5 × 8

• 5 ÷ 8

• √5 ⁄ √8

Which is equivalent to √49f⁴g⁵

• √49 / √f⁴ / √g⁵

• √49 ∙ √f⁴ ∙ √g⁵

• √49 + √f⁴ + √g⁵

• √49 - √f⁴ - √g⁵

What is the next step in simplifying this expression? 

• Find the square root of 5

• Multiply the numerator & denominator by √x

• Divide the numerator & denominator by √x

• Multiply by the reciprocal

Simplify.

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Simplifying a Square Root: \sqrt{perfect\ square}\times\sqrt{non\ perfect\ square} example:\ \ \sqrt{45}

∛297w⁶g⁶

• 3wg∛11

• 3w²g²∛11

• 3w³g³∛11

• 3w²g²√11

Which answer is an equivalent expression of the square root below, written in simplest form?

Simplify the radical...
√20a²b⁴

• 2ab²√5

• 4ab²√5

• 5ab²√2

• 2a²b²√5