Webb28 mars 2024 · Transcript. Example 15 Divide 8 √15 by 2 √3 . Since both numbers have root We divide integers separately, and roots separately Let's check the video as well (8√15)/(2√3) = 8/2 × √15/√3 = 8/2 × √(5 × 3)/√3 = 4 × (√5 " ×" √3)/√3 = 4 × √5 = 4 √5

Solve sqrt{8}*sqrt{18} Microsoft Math Solver

Webb15 apr. 2024 · Explanation: 5√8 + 2√32 −2√2 − − − (1) we need to break the square roots up into their simplest forms √8 = √4 × 2 = √4√2 = 2√2 √32 = √16 × 2 = √16√2 = 4√2 now substitute into (1) 5(2√2) +2(4√2) − 2√2 ⇒ 10√2 + 8√2 −2√2 = 16√2 Answer link WebbYes, you can take that approach. But, your work is incomplete. When you simplify a square root, you need to ensure you have removed all perfect squares. With 3√8, you still have a perfect square inside the radical. 3√8 = 3√(4*2) = 3√4 * √2 = 3*2√2 = 6√2 Hope this helps. dffh swan hill

Simplifying square roots Algebra (video) Khan Academy

WebbAlgebra Simplify 3 square root of 8 3√8 3 8 Rewrite 8 8 as 22 ⋅2 2 2 ⋅ 2. Tap for more steps... 3√22 ⋅2 3 2 2 ⋅ 2 Pull terms out from under the radical. 3(2√2) 3 ( 2 2) Multiply 2 … WebbMultiplying surds with different numbers inside the square root First, multiply the numbers inside the square roots, then simplify if possible. \[\sqrt{8} \times \sqrt{10} = \sqrt{80}\] WebbWhen there is no indicated index, as in √a, the index 2 is implied and it is read “the square root of a ." When the index is 3 as in 3√a, it is read “the cube root of a ." EXAMPLES 1. √49 = √72 = (√7)2 = 7 2. − √25=− √(5)2=− (√5)2=− 5 3. √− 4 is not a real number 4. 3√8 = 3√(2)3 = (√2)3 = 2 5. 5√− 32 = 5√(− 2)5 = (5√− 25) = − 2 = − 5√32 church zionhillbaptist.org