Solve Square root Problem | Learn easy math solution tricks

Learn the trick to solve this square root equaton. This video tells how to easily solve the square root related question. If you like the video, please like & subscribe the channel.

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[OleksandrLesiv]

I think it would be much simpler at the step sqrt(18 * 338) do the following:

sqrt(18 * 338)
sqrt(18)*sqrt(338)
sqrt(2*9)*sqrt(2 * 169)
3sqrt(2)*13sqrt(2)
39 * sqrt(2)*sqrt(2)
78

[fortnex]

SAY WHAAAATT?? JUST AT THE END, THE MOST IMPORTANT PART AND A LOT OF BANNERS START COVERING THE IMAGE!!!

[susancrane]

Use 178 = 169 + 9 and 160 = 169 - 9. Square each of these, and use a little arithmetic to get 178**2 - 160**2 = 4*169*9 which are all squares. Take square root to get 2*13*3 = 78

[lucvandenberghe]

The end solution is being hidden by the publicity for similar problems.

[nenemtiaof]

The end is covered by several banners. We Cannot watch the final answer.

[ericomartins]

18 x 338 = 9 x 2 x 338 = (3 x 3) x 2 x (2 x 169) = (3 x 3) x (2 x 2) x 169 = (3 x 3) x (2 x 2) x (13 x 13)

[walterwen]

Solve Square Root Problem: √(178^2 – 160^2) = ?
178^2 – 160^2 = (178 – 160)(178 + 160) = (18)(338) = [(2)(3^2)][(2)(13^2)] = [(6)(13)]^2
√(178^2 – 160^2) = √{[(6)(13)]^2} = √(78^2) = 78

[jim]

Difference of squares. √18 x √338 = 3√2 x 13√2 = 3 x 2 x 13 = 78

[mattslupek]

Did this bad boy in my head.

1– 170^2 = 28, 900
2– 170 x 8 twice = 2720
3– 8*2 = 64

28900
2820
84

31, 684

4– 160^2 = 25, 600

5– 31, 684 - 25, 600 = 6084

6– Eliminate last two digits

7– Find nearest square below the remaining number (60)

8– Nearest square is 49

9– Square root of 49 = 7

10–Multiply answer by next highest number

11- 7 x 8 = 56

12– 60>56

13– Since the difference between 31, 684 and 25, 600 ends in 4, the last digit in the root should be either 2 or 8

14– Since 60>56, the last digit should be 8

15– Answer is 78

Took me a lot less time to do this in my head than it did to type it out. 😂

[krabkrabkrab]

Nah. 18x338=36x169. square root is 6x13=78.

[RoderickEtheria]

sqrt((178-160)(178+160))
sqrt((18)(338))
sqrt((9)(676))
3×26
78

[shadmanhasan]

Root[ (178 + 160)(178 - 160)] -> (338)(18)
3380 + 676 + 676 + 676 +676 = 3380 +2704 = 6084.
Edit: This needs to be Rooted?! Fuck.