Solve 4sqrt{6*5-5}-3isqrt{5-5*6}

$$4 \sqrt { 6 \times 5 - 5 } - 3 i \sqrt { 5 - 5 \times 6 }$$

Evaluate

$$35$$

Solution Steps

Multiply 6 and 5 to get 30.

$$4\sqrt{30-5}-3i\sqrt{5-5\times 6}$$

Subtract 5 from 30 to get 25.

$$4\sqrt{25}-3i\sqrt{5-5\times 6}$$

Calculate the square root of 25 and get 5.

$$4\times 5-3i\sqrt{5-5\times 6}$$

Multiply 4 and 5 to get 20.

$$20-3i\sqrt{5-5\times 6}$$

Multiply 5 and 6 to get 30.

$$20-3i\sqrt{5-30}$$

Subtract 30 from 5 to get -25.

$$20-3i\sqrt{-25}$$

Calculate the square root of -25 and get 5i.

$$20-3i\times \left(5i\right)$$

Multiply 3i and 5i to get -15.

$$20-\left(-15\right)$$

The opposite of -15 is 15.

$$20+15$$

Add 20 and 15 to get 35.

$$35$$

Real Part

$$35$$

Solution Steps

Multiply 6 and 5 to get 30.

$$Re(4\sqrt{30-5}-3i\sqrt{5-5\times 6})$$

Subtract 5 from 30 to get 25.

$$Re(4\sqrt{25}-3i\sqrt{5-5\times 6})$$

Calculate the square root of 25 and get 5.

$$Re(4\times 5-3i\sqrt{5-5\times 6})$$

Multiply 4 and 5 to get 20.

$$Re(20-3i\sqrt{5-5\times 6})$$

Multiply 5 and 6 to get 30.

$$Re(20-3i\sqrt{5-30})$$

Subtract 30 from 5 to get -25.

$$Re(20-3i\sqrt{-25})$$

Calculate the square root of -25 and get 5i.

$$Re(20-3i\times \left(5i\right))$$

Multiply 3i and 5i to get -15.

$$Re(20-\left(-15\right))$$

The opposite of -15 is 15.

$$Re(20+15)$$

Add 20 and 15 to get 35.

$$Re(35)$$

The real part of 35 is 35.

$$35$$