Examples with solutions for Square Roots: Solving the problem

Exercise #1

441= \sqrt{441}=

Video Solution

Step-by-Step Solution

The root of 441 is 21.

21×21= 21\times21=

21×20+21= 21\times20+21=

420+21=441 420+21=441

Answer

21 21

Exercise #2

(380.2512)211= (\sqrt{380.25}-\frac{1}{2})^2-11=

Video Solution

Step-by-Step Solution

According to the order of operations, we'll first solve the expression in parentheses:

(380.2512)=(19.512)=(19) (\sqrt{380.25}-\frac{1}{2})=(19.5-\frac{1}{2})=(19)

In the next step, we'll solve the exponentiation, and finally subtract:

(19)211=(19×19)11=36111=350 (19)^2-11=(19\times19)-11=361-11=350

Answer

350

Exercise #3

64= \sqrt{64}=

Video Solution

Answer

8

Exercise #4

36= \sqrt{36}=

Video Solution

Answer

6

Exercise #5

5+361= 5+\sqrt{36}-1=

Video Solution

Answer

10 10

Exercise #6

0.25= \sqrt{0.25}=

Video Solution

Answer

0.5

Exercise #7

81+81+10= 81+\sqrt{81}+10=

Video Solution

Answer

100 100

Exercise #8

143121+18= 143-\sqrt{121}+18=

Video Solution

Answer

150 150

Exercise #9

27214= \sqrt{272\frac{1}{4}}=

Video Solution

Answer

1612 16\frac{1}{2}

Exercise #10

4×0.49+42= 4\times\sqrt{0.49}+4^2=

Video Solution

Answer

18.8

Exercise #11

22515= \sqrt{225}-15=

Video Solution

Answer

0

Exercise #12

9611= \sqrt{961}-\sqrt{1}=

Video Solution

Answer

30

Exercise #13

49+36= \sqrt{49}+\sqrt{36}=

Video Solution

Answer

13

Exercise #14

144+12= \sqrt{144}+12=

Video Solution

Answer

24

Exercise #15

400225= \sqrt{400}-\sqrt{225}=

Video Solution

Answer

5

Exercise #16

16+4= \sqrt{16}+\sqrt{4}=

Video Solution

Answer

6 6