--- ## Squares To square a number we multiply the number by itself. 3 squared is 9 because 3 × 3 = 9 4 squared is 16 because 4 × 4 = 16 We can write squared using a small (superscript) 2. 5² means 5 squared 10² means 10 squared **Example 1: Work out the value of 9²** To work out the value of 9 squared we need to calculate 9 × 9 9 × 9 = 81 9² = 81 **Example 2: Work out the value of (-8)²** To work out the value of -8 squared we need to calculate -8 × -8 \-8 × -8 = 64 (A negative times a negative is a positive) (-8)² = 64 If you are using a calculator you must put the -8 in brackets, otherwise the calculator will get the answer wrong! **Try these:** --- ## Cubes To cube a number we multiply the number by itself, and then multiply that answer by the number again. We can write cubed using a small (superscript) 3. 2³ means 2 cubed 3³ means 3 cubed **Example 3: Work out the value of 4³** To work out the value of 4 cubed we need to calculate 4 × 4 × 4 4 × 4 = 16 16 × 4 = 64 4³ = 64 **Example 4: Work out the value of 10³** To work out the value of 10 cubed we need to calculate 10 × 10 × 10 10 × 10 = 100 100 × 10 = 1000 10³ = 1000 --- **Try these:** --- ## Square Roots Square rooting is the opposite of sqauring a number. 9² = 81, so the square root of 81 is 9 Square root 100 can be written as √100 √81 means square root 81 **Example 5: Work out the value of √144** We are looking for the number that multiplies by itself to make 144 12 × 12 = 144 √144 = 12 **Example 6: Work out the value of √100** We are looking for the number that multiplies by itself to make 100 10 × 10 = 100 √100 = 10 --- **Try these:** --- ## Cube Roots Cube rooting is the opposite of cubing a number. 10³ = 1000, so the square root of 1000 is 10 Cube root 125 can be written as ∛125 ∛216 means cube root 216 **Example 7: Work out the value of ∛8** We are looking for the number that multiplies by itself, and then by itself again, to make 8 2 × 2 × 2 = 8 ∛8 = 2 --- **Try this:** 38:[["$","article",null,{"id":"lesson-notes","className":"lesson-content mt-8","c