Find the two digit number which is a square number and also a cubic nu

1.	Find the two digit number which is a square number and also a cubic number.
Answer» The two digited square and cubic number is 64 ∴ 64 = 8 x 8 = 8² ⇒ \(\sqrt{64}\) = 8 ∴ 64 = 4 x 4 x 4 = 4³ ⇒ \(\sqrt[3]{64}\) = 4

Find the two digit number which is a square number and also a cubic number.

Answer»

The two digited square and cubic number is 64

∴ 64 = 8 x 8 = 8²

⇒ \(\sqrt{64}\) = 8

∴ 64 = 4 x 4 x 4 = 4³

⇒ \(\sqrt[3]{64}\) = 4