root(18) simplify without using calculator&surd&table thanks step

&surd&table ???

you cant use any of them

ms.sue

If you're trying to find the square root of 18, you know it will be between the square roots of 16 and 25.

no ms.sue that not what i want

To simplify the square root of 18 without using a calculator, surd notation, or a table, you can use prime factorization.

Step 1: Begin by finding the prime factors of 18.
18 ÷ 2 = 9
9 ÷ 3 = 3

Step 2: Rewrite the square root of 18 using prime factors.
√(18) = √(2^1 × 3^2)

Step 3: Bring each prime factor with an even exponent outside the square root.
√(18) = √(2^1) × √(3^2)

Step 4: Simplify the square root of each prime factor.
√(18) = √(2) × √(3^2)

Step 5: Multiply the simplified factors.
√(18) = √(2) × 3

Final Answer: √(18) can be simplified to 3√(2) without using a calculator, surd notation, or a table.