Finding square root of a number by Division Method | Squares and Square Roots | Assessment | English | Grade 8

A perfect square has n digits. If n is even, then the number of digits in its square root will be ___

• n+1

• n/2

• n/3

• (n+1)/2

Answer explanation

A perfect square has n digits. If n is even, then the number of digits in its square root will be (n/2)

A perfect square has n digits. If n is odd, then the number of digits in its square root will be ___

• n+1

• n/2

• n/3

• (n+1)/2

Answer explanation

A perfect square has n digits. If n is odd, then the number of digits in its square root will be (n+1)/2

Tags

CCSS.HSA-REI.B.4B

The correct way of placing bars for finding the square root of 11025 by division method is

• 
• 
• 
• 

Answer explanation

For finding the square root of a natural number, bars must be placed over every pair of digits starting from the digit at one’s place and then moving toward left.

6084 is a square of ____

• 78

• 62

• 56

• 84

Answer explanation

To find the number whose square is 6084 we must find square root of 6084. It can be done by division method as follows. Note: there are other methods as well to find square root.

Tags

CCSS.8.EE.A.2

The least natural number that must be added to 1900 to get a perfect square is ___

• 26

• 46

• 36

• 56

Answer explanation

Try finding the square root of 1900 using division method. Since remainder is not zero, hence it is not a perfect square. As we can see, 43² < 1900 The next perfect square after 43² is 44² Also 43² < 1900 < 44² So, the number to be added to 1900 to make it a perfect square= 44² - 1900 = 1936 - 1900 = 36

√625 + √62500 is equal to ___

• 250

• 500

• 275

• 375

Answer explanation

We can find the square roots of 625 and 62500 using long division as shown below So, √625 + √62500 = 25 + 250 = 275

Tags

CCSS.HSN.RN.A.2

For the school parade, students need to march in a square arrangement, i.e., in such a way that the number of rows are equal to the number of columns. If there are 680 children in a school, then the minimum number of students who will be left out of the square arrangement so formed will be ___

• 4

• 680

• 676

• 46

Answer explanation

As we can see, 26² < 680 Hence, the maximum possible rows are 26 and columns are 26. Thus the number of students arranged in rows and columns = 26² = 676 So, the number of students who will be left out = 680 - 676 = 4