Question

Which expressions are equivalent to the given expression?

Answer 1

Simplify Square Roots -

Find one perfect square and one imperfect square to multiply to the square root.

`√(4 * 10) = 2 √(10)`

`40^{ (1)/(2) } = \sqrt[2]{(40) ^(1) } = √(40)`

`√(40) \\eq 4 √(10)`

`160 ^{ (1)/(2) } = \sqrt[2]{160 ^(1) } = √(160) \\eq \: √(40)`

`5 √(8) \\eq \: √(40)`

Answer 2

(a). and (b).

Explanation: