square root of 1.52 to the nearest tenth.

To find the square root of 1.52 to the nearest tenth, you can use a calculator or perform manual calculations. Here are the steps to manually calculate it:

Start with an initial approximation. Since 1 is the closest perfect square to 1.52, let's start with √1 = 1.

Improve the approximation using the Newton's method for square roots:

a. Divide the number you want to find the square root of (1.52) by the current approximation

1.52 / 1 = 1.52

b. Average the result with the current approximation.

(1 + 1.52) / 2 ≈ 1.76 / 2 ≈ 0.88

c. This new value is a better approximation of the square root. Repeat steps 2a and 2b as necessary until you reach a desired level of precision.

In this case, we can repeat the steps one more time:

a. Divide 1.52 by 0.88.

1.52 / 0.88 ≈ 1.7273

b. Average this result with 0.88.

(0.88 + 1.7273) / 2 ≈ 2.6073 / 2 ≈ 1.30365

Since we're rounding to the nearest tenth, we can stop here. The square root of 1.52 to the nearest tenth is approximately 1.3.

So, √1.52 ≈ 1.3 to the nearest tenth.