Germany/Excellent Square Root Problem

追加: 2026-06-03

[00:00:00]Hello guys, asalamu alaikum. Today we will solve a very tricky questions, nice square root problems. For the value of m, we will find value of m. What is the value of m? We will find today. Here we see that left side of the equation is multiplying by two. So we will divide the whole equations by two. Let's see.

[00:00:35]m² into 2 = m.

[00:00:40]Divided both sides of the equations by 2.

[00:00:45]Here we see 222 will be cancels.

[00:00:52]m whole square root m square root is equal to m.

[00:01:03]Now to remove this square root we will take square of both sides of the equations.

[00:01:11]Let's see. M square root m square t square is equal to m / 2².

[00:01:27]This square root this square root cancels square and square root cancels.

[00:01:32]So m m square<unk> is = m² d² = 4.

[00:01:42]So to remove this square root we will take again square of both sides of the equations. So m M square root taking squares is equal to m² divided by 4 whole squares.

[00:02:04]Here this m will be square m² this square root and square cancels. So into m is equal to m power m² is equal to 4².

[00:02:23]So this m² m² and m m that's m becomes m cq is equal to m^ 4 / 4s are 16.

[00:02:39]So here uh m^ 4 16 will go on this side of the equation m q. So mq will go on this side of the equation and will be divided. So here dividing both sides of the equation by mq here this cancels this m^ 4 minus this power goes and will be minus is equal to 16. So m is equal to 16.

[00:03:20]So we have found this value of the equations the value of m is that is equal to 16. Let's check this answer.

[00:03:36]We will put this value of 16 into first equation. What is the first equations?

[00:03:42]that is 2 m whole square root m square root is equal to m. So the value of we will put the this value of m into this equations 2 into 16 whole square root then again 16 square root is equal to 16.

[00:04:10]Here we see that 16 whole square root this square root uh that is 4 square and square root is equal to 16.

[00:04:28]So here 2 into 16 this whole square square root cancels that is 4 is equal to 16.

[00:04:50]Then we will take uh 16 into 4 that is 64.

[00:04:59]64 square t into 2 is equal to 16.

[00:05:08]This 8 square becomes 8 square root is equal to 16. This square square root cancels and remains 8 is equal to 16. So 16 is equal to 16. So it's proved that the true value of m is equal to 16. Thank you guys. Keep watching in this marvelous math and math channel. Thank you so much.