Solve the following equation

2y^2=50

2y^{2} = 50

2y^{2} | |

2 |

= |

50 |

2 |

y^{2} = | 50 |

2 |

y = | √50 |

√2 |

Using our radical expression calculator, we can simplify this

y^{2} = 25

√y^{2}= √25

y= = ±√25

If you use a guess and check method, you see that 4^{2} = 16 and 6^{2} = 36

Since 16 < 25 < 36 the next logical step would be checking 5^{2}

5^{2} = 5 x 5

5^{2} = 25 <--- We match our original number!!!

Therefore, √25 = **5**

1^{2} = 1 x 1 = 1 <--- Not our answer since 1 < 25

2^{2} = 2 x 2 = 4 <--- Not our answer since 4 < 25

3^{2} = 3 x 3 = 9 <--- Not our answer since 9 < 25

4^{2} = 4 x 4 = 16 <--- Not our answer since 16 < 25

5^{2} = 5 x 5 = 25 <--- **This is our answer!!!**

6^{2} = 6 x 6 = 36 <--- Not our answer since 36 > 25