To find the square root of 7, we look for a number that when multiplied by itself gives approximately 7, and 2.6 multiplied by 2.6 gives 6.76. Testing the next decimal digit, 2.64 multiplied by 2.64 yields 6.9696, which rounds accurately to 7.00. Therefore, the square root of 7 correct to two decimal places is 2.64.