Question

square root of 1088 with the method ​

Answer 1

Step-by-step explanation:

Step 1: List Factors

List the factors of 1088 like so:

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088

Step 2: Find Perfect Squares

Identify the perfect squares* from the list of factors above:

1, 4, 16, 64

Step 3: Divide

Divide 1088 by the largest perfect square you found in the previous step:

1088 / 64 = 17

Step 4: Calculate

Calculate the square root of the largest perfect square:

√64 = 8

Step 5: Get Answer

Put Steps 3 and 4 together to get the square root of 1088 in its simplest form:

8 √ 17

Answer 2

Answer:

$\star \: \: \bf \pink{Step 1: \: List \: Factors}$

List the factors of 1088 like so:

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088

$\star \bf \pink{Step 2: \: Find \: Perfect \: Squares}$

Identify the perfect squares*from the list of factors above:

1, 4, 16, 64

$\star \bf \pink{Step 3: \: Divide}$

Divide 1088 by the largest perfect square you found in the previous step:

1088 / 64 = 17

$\star \bf \pink{Step 4: \: Calculate}$

Calculate the square root of the largest perfect square:

√64 = 8

$\star \bf \pink{Step 5: \: Get Answer}$

Put Steps 3 and 4 together to get the square root of 1088 in its simplest form:

   

8√17 

$\star \bf \pink{Decimal \: Form}$

Square Root of 1088 in Decimal form rounded to nearest 5 decimals:

32.98485

$\star \bf \pink{Exponent \: Form}$

Square Root of 1088 written with Exponent instead of Radical:

1088½ = 8 x 17½