Let's simplify the given expression step by step:
√3 - √27√27 = √(9 3) = √9 √3 = 3√3So, √3 - 3√3 = -2√3
√20(√5 - √20)√20 = √(4 5) = 2√5So, 2√5(√5 - 2√5) = 2√5√5 - 2√5 2√5 = 2(5) - 2(4) = 10 - 8 = 2
Now substitute these values back into the original expression:
(-2√3) *√3 - 2 = -2√9 - 2 = -2(3) - 2 = -6 - 2 = -8
Therefore, the simplified value of (√3-√27)*√3-√20(√5-√20) is -8.
Let's simplify the given expression step by step:
√3 - √27
√27 = √(9 3) = √9 √3 = 3√3
So, √3 - 3√3 = -2√3
√20(√5 - √20)
√20 = √(4 5) = 2√5
So, 2√5(√5 - 2√5) = 2√5√5 - 2√5 2√5 = 2(5) - 2(4) = 10 - 8 = 2
Now substitute these values back into the original expression:
(-2√3) *√3 - 2 = -2√9 - 2 = -2(3) - 2 = -6 - 2 = -8
Therefore, the simplified value of (√3-√27)*√3-√20(√5-√20) is -8.