The surd form of 48 can be expressed as 43.
To simplify 48 into its simplest surd form, we begin by factorizing the number 48 into its prime factors:
48=2×24=2×2×12=2×2×2×6=2×2×2×2×3Next, we can group these factors into pairs of the same number:
48=(2×2)×(2×2)×3=4×4×3Using the property that the square root of a product equals the product of the square roots, we can simplify further:
48=(4×4×3)=(4×4)×3=43Therefore, the surd form of 48 is 43. This indicates that 48 can be simplified to 4 times the square root of 3. This surd form is advantageous because it is simpler and more manageable for subsequent calculations.
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