What is the smallest integer, larger than 1, which is both a perfect square, and a perfect cube. answer?

The smallest integer that is greater than 1 and is a perfect square and also a perfect cube is: 64.

A perfect square is an integer, n², whereby, √n² = n.

A perfect cube is an integer, n³, whereby, ∛n³ = n.

Thus, 64 is greater than 1

√64 = 8

∛64 = 4

Therefore, the smallest integer that is greater than 1 and is a perfect square and also a perfect cube is: 64.

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step-by-step explanation:

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6