Solve sqrt{16}:4-(1-2sqrt{9})=5

$$\sqrt { 16 } : 4 - ( 1 - 2 \sqrt { 9 } ) = 5$$

Verify

Solution Steps

Multiply both sides of the equation by 4.

$$\sqrt{16}-4\left(1-2\sqrt{9}\right)=20$$

Calculate the square root of 16 and get 4.

$$4-4\left(1-2\sqrt{9}\right)=20$$

Calculate the square root of 9 and get 3.

$$4-4\left(1-2\times 3\right)=20$$

Multiply -2 and 3 to get -6.

$$4-4\left(1-6\right)=20$$

Subtract 6 from 1 to get -5.

$$4-4\left(-5\right)=20$$

Multiply 4 and -5 to get -20.

$$4-\left(-20\right)=20$$

The opposite of -20 is 20.

$$4+20=20$$

Add 4 and 20 to get 24.

$$24=20$$

Compare 24 and 20.

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